Study Rate

Class 9 Maths Case Study Questions of Chapter 13 Surface Areas and Volumes

  • Post author: studyrate
  • Post published:
  • Post category: class 9th
  • Post comments: 0 Comments

Case study Questions in Class 9 Mathematics Chapter 13  are very important to solve for your exam. Class 9 Maths Chapter 13 Case Study Questions have been prepared for the latest exam pattern. You can check your knowledge by solving case study-based questions for Class 9 Maths Case Study Questions  Chapter 13 Surface Areas and Volumes

Join our Telegram Channel, there you will get various e-books for CBSE 2024 Boards exams for Class 9th, 10th, 11th, and 12th.

Download Books for Boards

These case study questions challenge students to apply their knowledge of quadrilaterals in practical scenarios, enhancing their problem-solving abilities. This article provides the Class 9 Maths Case Study Questions of Chapter 13 Surface Areas and Volumes, enabling students to practice and excel in their examinations.

Surface Areas and Volumes Case Study Questions With Answers

Here, we have provided case-based/passage-based questions for Class 9 Maths Chapter 13 Surface Areas and Volumes

Case Study/Passage-Based Questions

Case Study 1: A class teacher brings some clay in the classroom to teach the topic of mensuration. First she forms a cylinder of radius 6 cm and height 8 cm and then she molds that cylinder into sphere.

case study questions on surface area and volume class 9

Find the volume of the cylindrical shape. (a) 288 π cm 3 (b) 244 π cm 3 (c) 240 π cm 3 (d) 216 π cm 3

Answer: (a) 288 π cm3

When clay changes into one shape to other, which of the following remains same? (a) Area (b) C.S.A (c) Radius (d) Volume

Answer: (d) Volume

The radius of the sphere is (a) 2 cm (b) 4 cm (c) 5 cm (d) 6 cm

Answer: (d) 6 cm

Find the volume of sphere, the teacher made. (a) 288 π cm 3 (b) 184 π cm 3 (c) 240 π cm 3 (d) 216 π cm 3

Case Study 2: Ankita realised the need of food for birds on her terrace and decided to make a bird feeder. She got a flexible plastic rectangular sheet of size 44 cm × 15 cm. She rolled it along its length and joined the two opposite ends using a tape for circular base of cylinder. She found a square sheet of size 15 cm × 15 cm by cutting it into required circular shape she prepared the bird feeder as shown in figure.

The curved surface area of the cylinder formed is (a) 550 cm 2 (b) 660 cm 2 (c) 430 cm 2 (d) 840 cm 2

Answer: (b) 660 cm2

The radius of the base of the cylinder is (a) 5 cm (b) 6 cm (c) 7 cm (d) 8 cm

Answer: (c) 7 cm

The area of the circular base required for the cylinder is (a) 154 cm 2 (b) 164 cm 2 (c) 240 cm 2 (d) 184 cm 2

Answer: (a) 154 cm2

How much will be the area of square sheet left unused after removing the circular base of the cylinder from it? (a) 78 cm 2 (b) 62 cm 2 (c) 75 cm 2 (d) 71 cm 2

Answer: (d) 71 cm2

Topics Covered in the Case Studies of Chapter 13: Surface Areas and Volumes

The case studies in the Class 9 Maths Case Study Questions of Chapter 13: Surface Areas and Volumes cover the following topics:

  • Surface Areas of Solids (Cuboid, Cylinder, Cone, and Sphere)
  • Volumes of Solids (Cuboid, Cylinder, Cone, and Sphere)
  • Conversion of Units
  • Application of Surface Areas and Volumes in Real-Life Scenarios

Hope the information shed above regarding Case Study and Passage Based Questions for Class 9 Mathematics Chapter 13 Surface Areas and Volumes with Answers Pdf free download has been useful to an extent. If you have any other queries about CBSE Class 9 Maths Surface Areas and Volumes Case Study and Passage Based Questions with Answers, feel free to comment below so that we can revert back to us at the earliest possible By Team Study Rate

You Might Also Like

Rs aggarwal class 9 pdf with solutions, mcq questions of class 9 social science history chapter 3 nazism and the rise of hitler with answers.

Read more about the article 1569+ Class 9 Science MCQ Questions with Answers PDF Download

1569+ Class 9 Science MCQ Questions with Answers PDF Download

Leave a reply cancel reply.

Save my name, email, and website in this browser for the next time I comment.

Level Up Academy

CBSE Case Study Questions for Class 9 Maths Surface Areas and Volumes Free PDF

Featured image website

Mere Bacchon, you must practice the CBSE Case Study Questions Class 9 Maths Surface Areas and Volumes  in order to fully complete your preparation . They are very very important from exam point of view. These tricky Case Study Based Questions can act as a villain in your heroic exams!

I have made sure the questions (along with the solutions) prepare you fully for the upcoming exams. To download the latest CBSE Case Study Questions , just click ‘ Download PDF ’.

CBSE Case Study Questions for Class 9 Maths Surface Areas and Volumes PDF

Checkout our case study questions for other chapters.

  • Chapter 11 Constructions Case Study Questions
  • Chapter 12 Heron’s Formula Case Study Questions
  • Chapter 14 Statistics Case Study Questions
  • Chapter 15 Probability Case Study Questions

How should I study for my upcoming exams?

First, learn to sit for at least 2 hours at a stretch

Solve every question of NCERT by hand, without looking at the solution.

Solve NCERT Exemplar (if available)

Sit through chapter wise FULLY INVIGILATED TESTS

Practice MCQ Questions (Very Important)

Practice Assertion Reason & Case Study Based Questions

Sit through FULLY INVIGILATED TESTS involving MCQs. Assertion reason & Case Study Based Questions

After Completing everything mentioned above, Sit for atleast 6 full syllabus TESTS.

Comments are closed.

Contact Form

Privacy Policy

Gurukul of Excellence

Gurukul of Excellence

Classes for Physics, Chemistry and Mathematics by IITians

Join our Telegram Channel for Free PDF Download

Case Study Questions for Class 9 Maths Chapter 13 Surface Area and Volume

Case Study Questions

Question 1:

Nakul was doing an experiment to find the radius r of a ball. For this he took a cylindrical container with radius R = 7 cm and height 10 cm. He filled the container almost half by water as shown in the figure-1. Now he dropped the ball into the container as in figure-2. He observed that in figure-2, the water level in the container raised from P to Q i.e, to 3.4 cm.

case study questions on surface area and volume class 9

(i) What is the approximate radius of the ball? (a) 3 cm (b) 5 cm (c) 7 cm (d) 9 cm

(ii) What is the volume of the cylinder? (a) 1260 cm 2 (b) 540 cm 3 (c) 1620 cm 3 (d) 1540 cm 3

(iii) What is the volume of the spherical ball? (a) 620 cm 3 (b) 824.26 cm 3 (c) 523.81 cm 3 (d) 430.1 cm 3

(iv) How many litres of water can be filled in the full container ? (a) 1.54 litres (b) 2 litres (c) 5 litres (d) 7.5 litres

(v) What is the total surface area of the spherical ball? (a) 441.34 cm 2 (b) 314.29 cm 2 (c) 620 cm 2 (d) 816 cm 2

case study questions on surface area and volume class 9

Download CBSE Books

Exam Special Series:

  • Sample Question Paper for CBSE Class 10 Science (for 2024)
  • Sample Question Paper for CBSE Class 10 Maths (for 2024)
  • CBSE Most Repeated Questions for Class 10 Science Board Exams
  • CBSE Important Diagram Based Questions Class 10 Physics Board Exams
  • CBSE Important Numericals Class 10 Physics Board Exams
  • CBSE Practical Based Questions for Class 10 Science Board Exams
  • CBSE Important “Differentiate Between” Based Questions Class 10 Social Science
  • Sample Question Papers for CBSE Class 12 Physics (for 2024)
  • Sample Question Papers for CBSE Class 12 Chemistry (for 2024)
  • Sample Question Papers for CBSE Class 12 Maths (for 2024)
  • Sample Question Papers for CBSE Class 12 Biology (for 2024)
  • CBSE Important Diagrams & Graphs Asked in Board Exams Class 12 Physics
  • Master Organic Conversions CBSE Class 12 Chemistry Board Exams
  • CBSE Important Numericals Class 12 Physics Board Exams
  • CBSE Important Definitions Class 12 Physics Board Exams
  • CBSE Important Laws & Principles Class 12 Physics Board Exams
  • 10 Years CBSE Class 12 Chemistry Previous Year-Wise Solved Papers (2023-2024)
  • 10 Years CBSE Class 12 Physics Previous Year-Wise Solved Papers (2023-2024)
  • 10 Years CBSE Class 12 Maths Previous Year-Wise Solved Papers (2023-2024)
  • 10 Years CBSE Class 12 Biology Previous Year-Wise Solved Papers (2023-2024)
  • ICSE Important Numericals Class 10 Physics BOARD Exams (215 Numericals)
  • ICSE Important Figure Based Questions Class 10 Physics BOARD Exams (230 Questions)
  • ICSE Mole Concept and Stoichiometry Numericals Class 10 Chemistry (65 Numericals)
  • ICSE Reasoning Based Questions Class 10 Chemistry BOARD Exams (150 Qs)
  • ICSE Important Functions and Locations Based Questions Class 10 Biology
  • ICSE Reasoning Based Questions Class 10 Biology BOARD Exams (100 Qs)

✨ Join our Online JEE Test Series for 499/- Only (Web + App) for 1 Year

✨ Join our Online NEET Test Series for 499/- Only for 1 Year

Leave a Reply Cancel reply

Join our Online Test Series for CBSE, ICSE, JEE, NEET and Other Exams

Join Telegram Channel

Editable Study Materials for Your Institute - CBSE, ICSE, State Boards (Maharashtra & Karnataka), JEE, NEET, FOUNDATION, OLYMPIADS, PPTs

Discover more from Gurukul of Excellence

Subscribe now to keep reading and get access to the full archive.

Type your email…

Continue reading

CBSE Expert

CBSE Case Study Questions Class 9 Maths Chapter 13 Surface Areas and Volumes PDF Download

CBSE Case Study Questions Class 9 Maths Chapter 13 Surface Areas and Volumes PDF Download

Case Study Questions Class 9 Maths Chapter 13  are very important to solve for your exam. Class 9 Maths Chapter 13 Case Study Questions have been prepared for the latest exam pattern. You can check your knowledge by solving case study-based questions for Class 9 Maths Chapter 13 Surface Areas and Volumes

case study questions on surface area and volume class 9

Case Study Questions Class 9 Maths Chapter 13

Case Study/Passage-Based Questions

Case Study 1: A class teacher brings some clay into the classroom to teach the topic of mensuration. First, she forms a cylinder of radius 6 cm and height 8 cm and then she molds that cylinder into a sphere.

case study questions on surface area and volume class 9

Find the volume of the cylindrical shape. (a) 288 π cm 3 (b) 244 π cm 3 (c) 240 π cm 3 (d) 216 π cm 3

Answer: (a) 288 π cm3

When clay changes into one shape to other, which of the following remains same? (a) Area (b) C.S.A (c) Radius (d) Volume

Answer: (d) Volume

The radius of the sphere is (a) 2 cm (b) 4 cm (c) 5 cm (d) 6 cm

Answer: (d) 6 cm

Find the volume of sphere, the teacher made. (a) 288 π cm 3 (b) 184 π cm 3 (c) 240 π cm 3 (d) 216 π cm 3

Case Study 2: Ankita realized the need for food for birds on her terrace and decided to make a bird feeder. She got a flexible plastic rectangular sheet of size 44 cm × 15 cm. She rolled it along its length and joined the two opposite ends using a tape for the circular base of the cylinder. She found a square sheet of size 15 cm × 15 cm by cutting it into the required circular shape she prepared the bird feeder as shown in the figure.

The curved surface area of the cylinder formed is (a) 550 cm 2 (b) 660 cm 2 (c) 430 cm 2 (d) 840 cm 2

Answer: (b) 660 cm2

The radius of the base of the cylinder is (a) 5 cm (b) 6 cm (c) 7 cm (d) 8 cm

Answer: (c) 7 cm

The area of the circular base required for the cylinder is (a) 154 cm 2 (b) 164 cm 2 (c) 240 cm 2 (d) 184 cm 2

Answer: (a) 154 cm2

How much will be the area of square sheet left unused after removing the circular base of the cylinder from it? (a) 78 cm 2 (b) 62 cm 2 (c) 75 cm 2 (d) 71 cm 2

Answer: (d) 71 cm2

Hope the information shed above regarding Case Study and Passage Based Questions for Case Study Questions Class 9 Maths Chapter 13 Surface Areas and Volumes with Answers Pdf free download has been useful to an extent. If you have any other queries about Case Study Questions Class 9 Maths Chapter 13 Surface Areas and Volumes and Passage-Based Questions with Answers, feel free to comment below so that we can revert back to us at the earliest possible.

Leave a Comment Cancel reply

Save my name, email, and website in this browser for the next time I comment.

Download India's best Exam Preparation App Now.

Key Features

  • Revision Notes
  • Important Questions
  • Previous Years Questions
  • Case-Based Questions
  • Assertion and Reason Questions

No thanks, I’m not interested!

Free Online study material

  • Neet Online Test Pack

12th Standard stateboard question papers & Study material

தமிழ் subjects.

subject-image

கணினி பயன்பாடுகள்

subject-image

கணினி அறிவியல்

வணிகக் கணிதம் மற்றும் புள்ளியியல்.

subject-image

கணினி தொழில்நுட்பம்

subject-image

கணக்குப்பதிவியல்

subject-image

English Subjects

subject-image

Computer Science

subject-image

Business Maths and Statistics

subject-image

Accountancy

subject-image

Computer Applications

subject-image

Computer Technology

subject-image

11th Standard stateboard question papers & Study material

subject-image

9th Standard stateboard question papers & Study material

subject-image

Social Science

subject-image

சமூக அறிவியல்

6th standard stateboard question papers & study material.

subject-image

10th Standard stateboard question papers & Study material

subject-image

7th Standard stateboard question papers & Study material

subject-image

8th Standard stateboard question papers & Study material

subject-image

கணிதம் - old

subject-image

12th Standard CBSE Subject Question Paper & Study Material

subject-image

Introductory Micro and Macroeconomics

subject-image

Business Studies

subject-image

Indian Society

subject-image

Physical Education

subject-image

Bio Technology

subject-image

Engineering Graphics

subject-image

Entrepreneurship

subject-image

Hindi Elective

subject-image

Home Science

subject-image

Legal Studies

subject-image

Political Science

subject-image

11th Standard CBSE Subject Question Paper & Study Material

subject-image

Mathematics

subject-image

Enterprenership

subject-image

Applied Mathematics

10th standard cbse subject question paper & study material.

subject-image

9th Standard CBSE Subject Question Paper & Study Material

subject-image

8th Standard CBSE Subject Question Paper & Study Material

subject-image

7th Standard CBSE Subject Question Paper & Study Material

subject-image

6th Standard CBSE Subject Question Paper & Study Material

subject-image

School Exams

sub-category-image

Tamil Nadu State Board Exams

sub-category-image

Scholarship Exams

sub-category-image

Study Materials , News and Scholarships

sub-category-image

Stateboard Tamil Nadu

sub-category-image

Free Online Tests

sub-category-image

Educational News

sub-category-image

Scholarships

sub-category-image

Entrance Exams India

sub-category-image

Video Materials

case study questions on surface area and volume class 9

9th Standard CBSE

Class 9th Maths - Surface Case Study Questions and Answers 2022 - 2023

case study questions on surface area and volume class 9

Class 9th Maths - Surface Case Study Questions and Answers 2022 - 2023 Study Materials Sep-08 , 2022

QB365 provides a detailed and simple solution for every Possible Case Study Questions in Class 9th Maths Subject - Surface, CBSE. It will help Students to get more practice questions, Students can Practice these question papers in addition to score best marks.

case study questions on surface area and volume class 9

A PHP Error was encountered

Severity: Warning

Message: in_array() expects parameter 2 to be array, null given

Filename: material/details.php

Line Number: 1436

Message: Use of undefined constant EXAM - assumed 'EXAM' (this will throw an Error in a future version of PHP)

Line Number: 1438

QB365 - Question Bank Software

Surface areas and volumes case study questions with answer key.

Final Semester - June 2015

case study questions on surface area and volume class 9

(b) What is the curved surface area of hemispherical dome ?

(c) What is the height of the cubodial part ?

d) What is the circumference of the base of the dome ?

(v) The total surface area of a hemispherical dome having radius 7 cm is:

case study questions on surface area and volume class 9

(ii) Write the formula to find the volume of one pillar (including hemispherical dome) :

(iii) The volume of the hemispherical dome at the centre if base radius is 7 m is :

(iv) What is the lateral surface area of all 4 pillars if height of the each pillar is 14 m and base radius is 1.4 m (without dome)?

(v) The cost of polishing all the four pillars if the cost of 1 m 2 is Rs. 270, will be :

Mathematics teacher of a school took his 10th standard students to show Taj Mahal. It was a part of their Educational trip. The teacher had interest in history as well. He narrated the facts of Taj Mahal to the students. Then the teacher said in this monument one can find combination of solid figures. There are 4 pillars which are cylindrical in shape. Also, 2 domes at the back side which are hemispherical. 1 big domes at the centre. It is the finest example of the symmetry. (Use π = 22/7) (i)How much cloth material will be required to cover 2 small domes each of radius  4.2 metres?

case study questions on surface area and volume class 9

(ii) Write the formula to find the volume of a cylindrical pillar:

(iii) Find the lateral surface area of two pillars if height of the pillar is 7 m and radius of the base is 1.4 m.

(iv) How much is the volume of a hemisphere if the radius of the base is 3.5 m?

(v) What is the ratio of sum of volumes of two hemispheres of radius 1 cm each to the volume of a sphere of radius 2 cm?

case study questions on surface area and volume class 9

(ii) If the area of windows and doors is 22 sq m.  The area of the walls to be painted

(iii) What is the area of the tiles to be used for flooring?

(iv) The total area of the room is (including windows and doors):

(v) What is the volume of the air in the room?

case study questions on surface area and volume class 9

(b) The radius of the base of the cylinder is

(c) The area of the circular base required for the cylinder is

(d) How much will be the area of square sheet left unused after removing the circular base of the cylinder from it?

(e) Find the volume of water that can be filled in the cylinder.

case study questions on surface area and volume class 9

(ii) What is the volume of cylindrical shape?

(iii) What is the formula of volume of sphere?

(iv) When clay changes into on shape to other which of the following remains same. 

(v) The radius of the sphere formed is :

case study questions on surface area and volume class 9

(ii) What is formula for calculating the lateral surface area of the cylinder?

(iii) What is the volume of two cylinders?

(iv) If the cuboid needs to be painted red, how much area need to be painted?

(v)  If a cloth is needed to cover the cylindrical part, how much cloth is needed?

case study questions on surface area and volume class 9

(ii) What is the formula for calculating the total surface area of the cylindrical container i.e., milk container?

(iii) If the cube shown in the picture is of dimension 6 cm each. Find the capacity of this cubic container.

(iv) Find the ratio between the volume and C.S.A. of the cylindrical container.

(v)  What is the formula for calculating the total surface area of the hemisphere?

*****************************************

  • Previous Class 9th Maths - Probability Case Study Questions and Answers 2022 - 2023
  • Next Class 9th Maths - Statistics Case Study Questions and Answers 2022 - 2023

Reviews & Comments about Class 9th Maths - Surface Case Study Questions and Answers 2022 - 2023

case study questions on surface area and volume class 9

Write your Comment

case study questions on surface area and volume class 9

9th Standard CBSE Mathematics Usefull Links

case study questions on surface area and volume class 9

  • 10th Standard

Other 9th Standard CBSE Subjects

alt-subject-image

Other 9th Standard CBSE Mathematics Study material

Class 9th maths - probability case study questions and answers 2022 - 2023 click to view, class 9th maths - statistics case study questions and answers 2022 - 2023 click to view, class 9th maths - surface case study questions and answers 2022 - 2023 click to view, class 9th maths - linear equations in ... click to view, class 9th maths - coordinate geometry case ... click to view, 9th standard cbse mathematics annual exam model question 2020 click to view, 9th standard cbse mathematics public exam sample question 2020 click to view, 9th standard cbse mathematics public exam important question 2019-2020 click to view, 9th standard mathematics board exam sample question 2020 click to view, 9th standard mathematics board exam model question 2019-2020 click to view, cbse 9th mathematics - probability model question paper click to view, cbse 9th mathematics - statistics model question paper click to view, cbse 9th mathematics - surface areas and volumes model question paper click to view, cbse 9th mathematics - heron's formula model question paper click to view, cbse 9th mathematics - constructions model question paper click to view, register & get the solution for class 9th maths - surface case study questions and answers 2022 - 2023.

  • Class 6 Maths
  • Class 6 Science
  • Class 6 Social Science
  • Class 6 English
  • Class 7 Maths
  • Class 7 Science
  • Class 7 Social Science
  • Class 7 English
  • Class 8 Maths
  • Class 8 Science
  • Class 8 Social Science
  • Class 8 English
  • Class 9 Maths
  • Class 9 Science
  • Class 9 Social Science
  • Class 9 English
  • Class 10 Maths
  • Class 10 Science
  • Class 10 Social Science
  • Class 10 English
  • Class 11 Maths
  • Class 11 Computer Science (Python)
  • Class 11 English
  • Class 12 Maths
  • Class 12 English
  • Class 12 Economics
  • Class 12 Accountancy
  • Class 12 Physics
  • Class 12 Chemistry
  • Class 12 Biology
  • Class 12 Computer Science (Python)
  • Class 12 Physical Education
  • GST and Accounting Course
  • Excel Course
  • Tally Course
  • Finance and CMA Data Course
  • Payroll Course

Interesting

  • Learn English
  • Learn Excel
  • Learn Tally
  • Learn GST (Goods and Services Tax)
  • Learn Accounting and Finance
  • GST Tax Invoice Format
  • Accounts Tax Practical
  • Tally Ledger List
  • GSTR 2A - JSON to Excel

Are you in school ? Do you love Teachoo?

We would love to talk to you! Please fill this form so that we can contact you

You are learning...

Chapter 11 Class 9 Surface Areas and Volumes

Click on any of the links below to start learning from Teachoo ...

Updated for new NCERT - 2023-24 Exams.

Get solutions of all exercise questions and examples of Chapter 11 Class 9 Surface Area and Volumes from the NCERT Book. All answers are solved in an easy way, with video of each and every question

In this chapter, we will learn

  • Lateral and Total Surface Area of Cube and Cuboid
  • Curved and Total Surface Area of a Cylinder
  • Curved and Total Surface Area of a right circular Cone
  • Surface area of a Sphere
  • Curved and Total Surface Area of an Hemisphere
  • What is Volume of a solid
  • Volume of Cube and Cuboid
  • Volume of Cylinder
  • Volume of a Cone
  • Volume of a Sphere
  • Volume of a Hemisphere

You can also check the list of all Surface Area and Volume Formulas

Click on an exercise link, or a topic link below to start the chapter.

Note: By clicking the link, only first post will appear. Other questions are in the arrowed list at the bottom

Serial order wise

Concept wise.

What's in it?

Hi, it looks like you're using AdBlock :(

Please login to view more pages. it's free :), solve all your doubts with teachoo black.

Talk to our experts

1800-120-456-456

  • Surface Areas and Volumes Class 9 Notes CBSE Maths Chapter 13 (Free PDF Download)
  • Revision Notes

ffImage

Class 9 Maths Revision Notes for Surface Areas and Volumes of Chapter 13 - Free PDF Download

Free PDF download of Class 9 Maths revision notes & short key-notes for Surface Areas and Volumes of Chapter 13 to score high marks in exams, prepared by expert mathematics teachers from the latest edition of CBSE books. Register Onli ne for Class 9 Science tuition on Vedantu.com to score more marks in your examination. Vedantu is a platform that provides free CBSE Solutions (NCERT) and other study materials for students. Maths Students who are looking for better solutions can download Class 9 Maths NCERT Solutions to help you to revise the complete syllabus and score more marks in your examinations.

Download CBSE Class 9 Maths Revision Notes 2023-24 PDF

Also, check CBSE Class 9 Maths revision notes for all chapters:

centre-image

Access Class 9 Maths Chapter 13 – Surface Areas and Volumes Notes

Definitions:.

Any object occupying fixed space and volume is called a solid.

For example: cube, cuboid, sphere, cylinder, cone etc.

1. Surface Area of a Solid: 

The area occupied by a solid object is known as surface area.

The unit of surface area is taken as square unit. 

Example- square meter$({{m}^{2}})$.

2. Volume of a Solid:

The measure of the occupied space is called volume of a solid.

The unit of volume is cubic unit.

Example- cubic meter$({{m}^{3}})$

Formulas for Different Solids:

1. Cuboid 

Cuboid

A three-dimensional solid having six rectangular faces is called a cuboid. A cuboid has 6 rectangular faces, 12 edges and 8 vertices with opposite faces of equal dimensions.

The example of a cuboid is a book, matchbox, shoebox etc.

Surface Area of Cuboid:

$S=2(lb+bh+lh)$ 

Where $l$ is length, $b$ is breadth and $h$ is the height of the cuboid.

Volume of Cuboid:

$V=l\times b\times h$

2. Cube  

A Cube

A cuboid having equal length, breadth and height is called a cube. 

For example- ice cubes, dice etc.

Surface Area of Cube:

$S=6{{l}^{2}}$ 

Where $l$ is length of each side of the cube.

Volume of Cube:

$V={{l}^{3}}$

3. Cylinders

Cylinders

A solid generated by stacking large number of circular discs along their diameter on top of the other is called a cylinder. For example, circular pillars, circular pipes, measuring cylinders, soft drink cans etc.

Hollow Cylinder

Solids like iron pipes, rubber tubes, etc., are in the shape of hollow cylinders. 

Surface Area of Cylinder:

a) Curved surface area (CSA): $CSA=2\pi rh$

b) Total Surface area (TSA): $TSA=2\pi r(r+h)$

Where $r$ is radius of circular top and bottom and $h$ is the height of cylinder.

Volume of Cylinder:

$V=\pi {{r}^{2}}h$

4. Right Circular Cone 

Right Circular Cone

The solid generated by the rotation of a right-angled triangle about a right-angled side is called a right circular cone. 

Surface Area of Cone:

a) Curved Surface Area (CSA): $CSA=\pi rl$

b) Total Surface Area (TSA): $TSA=\pi r(r+l)$

Where $r$ is radius of circular part, $h$ is the perpendicular height and $l=\sqrt{{{r}^{2}}+{{h}^{2}}}$ is the slant height of the cone.

Volume of Cone:

$V=\dfrac{1}{3}\pi {{r}^{2}}h$

Where $r$ is radius of circular part, $h$ is the perpendicular height of  the cone.

5. Sphere 

A Sphere

The three-dimensional solid obtained from collection of all the points in space lying at the constant distance called as radius, from the fixed point called centre, is known as sphere.

For example- a bowling ball, cricket ball etc.

Surface Area of Sphere:

\[SA=4\pi {{r}^{2}}\]

Where $r$ is the radius of sphere.

Volume of Sphere:

$V=\dfrac{4}{3}\pi {{r}^{3}}$

Where $r$ is the radius of the sphere.

1. Spherical Shell 

Spherical Shell

The solid region between two hollow concentric spheres of different radius. 

For example- a ping pong ball, football etc.

Surface Area of Shell:

\[SA=4\pi {{R}^{2}}\]

Where $R$ is the radius of the outer sphere.

Volume of Solid Part of Shell:

$V=\dfrac{4}{3}\pi ({{R}^{3}}-{{r}^{3}})$

Where $R$ is the radius of outer sphere and $r$ is the radius of the inner sphere.

2. Hemisphere 

Hemisphere

When a plane slices a solid it into two equal parts, passing through the centre, then each part is called a hemisphere.

For example: A dome shaped roof of a building, ball sliced into equal parts etc.

Surface Area of Hemisphere:

a) Curved Surface Area (CSA): $CSA=2\pi {{r}^{2}}$

b) Total Surface Area (TSA): $TSA=3\pi {{r}^{2}}$

Where $r$ is radius of the circular region.

Volume of Hemisphere:

$V=\dfrac{2}{3}\pi {{r}^{3}}$

Where $r$ is the radius of the hemisphere.

CBSE Class 9 Maths Notes Chapter 13 Surface Areas and Volumes PDF

CBSE Class 9 Chapter 13 Surface Areas and Volumes contains 9 exercises, starting from 13.1 to 13.9. The solutions to these exercises are available below: 

Exercise 13.1: 8 questions

Exercise 13.2: 11 questions

Exercise 13.3: 8 questions

Exercise 13.4, 13.5 and 13.7: 9 questions each

Exercise 13.6: 8 questions

Exercise 13.8: 10 questions

Exercise 13.9: 3 questions

Notes to these exercises are prepared as per the latest CBSE guidelines for the session 2021-22 and they are available on our website in PDF format for free. 

Revision Notes Class 9 Maths Chapter 13 provided by Vedantu helps students revise each and every important concept related to Surface Areas and Volumes in detail.

Importance of CBSE Class 9 Maths Revision Notes

CBSE revision notes on class 9 Surface Areas and Volumes will provide you with a summary of all the important and relevant topics as well as highlight the significant references from the Surface Areas and Volumes Class 9 Notes.

Notes of class 9 revision notes chapter 13 will provide you with a summary of all the important and relevant topics as well as highlight the significant references from chapter 13 Simple Surface Areas and Volumes.

Let Us Revise Some Important Concepts and Formulas of Surface Areas and Volumes.

1. Surface Area

The surface area is the area taken by the three-dimensional object. As the three-dimensional object is made up of 2D faces, so surface area is the sum of the areas of all the faces of that object.

The surface area can be classified as: 

Curved Surface Area (CSA).

Lateral Surface Area (LSA) 

Total Surface Area (TSA)

The space occupied by any 3-D object is the volume of that object. The volume of a solid shape is the product of three dimensions, so we express the volume as cubic units. 

3. Important Formulas for Surface Areas and Volumes

Formulas for LSA/ CSA, TSA, and Volume related to 3d Shapes (Solid shapes)

Surface Area and Volume Formula in a Tabular Form are Given Below

Download surface area and volumes notes pdf.

The students can go through these Vedantu Class 9 Maths Notes of Surface Area and Volumes PDF to excel with highest scores in the CBSE Class 9 examination.

The Maths experts at Vedantu prepared the CBSE Class 9 Maths Revision Notes. Every step and concept is explained clearly in the answers provided by Vedantu. Class 9 Maths Notes of Surface Area and Volumes PDF provided by Vedantu help students revise each and every important concept related to Surface Area and Volumes in detail.

Why Choose Vedantu for Surface Area and Volumes Notes?

Chapter Wise CBSE Surface Areas and Volumes Class 9 Notes and Key Points pdf free download is designed by expert teachers from the latest edition of NCERT books to score good marks in final exams. 

Surface Areas and Volumes Class 9 Notes PDF help you to know concepts better so that you can study anytime, anywhere.

In order to help most students prepare for this subject and score good marks in the Class 9 CBSE board examinations, the Vedantu Surface Areas and Volumes Class 9 Notes can be downloaded for free from our website. 

Vedantu Surface Areas and Volumes Class 9 Notes PDF will help to get through the problems of Surface Area and Volumes with proper and step-wise understanding. 

Expert Tips

Revision notes on Surface Areas and Volumes Class 9 Notes prove very important for the students who are working very hard for the whole year. Class 9 Maths 

Chapter 13 Revision Notes are always considered the best as it helps in revising the whole chapter thoroughly and also makes the learning simple and appropriate. Planning and preparation are where effective revision begins, and Vedantu Revision Notes PDF will help you to achieve your goals easily.

Vedantu's CBSE Class 9 Maths Chapter 13 Revision Notes are a valuable resource for students who want to gain a sound knowledge in the concepts of surface areas and volumes and to perform their best in their exams. These revision notes are comprehensive, aligned with the latest CBSE syllabus and NCERT guidelines, and written in a clear and concise style that is easy to understand. They include a variety of solved and unsolved problems to practice with, and they are prepared by experienced teaching faculties and subject matter experts.

arrow-right

FAQs on Surface Areas and Volumes Class 9 Notes CBSE Maths Chapter 13 (Free PDF Download)

1. What is surface area and volume Class 9?

Surface area is the total area of all the faces of a solid object, while volume is the amount of space that a solid object occupies.

2. What is the formula for surface area and volume?

Surface area:

Cuboid: 2(lb + bh + lh)

Cylinder: 2πrh + 2πr²

Cone: πr(r + l)

Sphere: 4πr²

Cuboid: lbh

Cylinder: πr²h

Cone: ⅓πr²h

Sphere: 4/3πr³

Note that these are just the basic formulas for surface area and volume. There are more complex formulas for other shapes and solids.

3. What is the formula of area?

Rectangle: Area = length × width

Square: Area = side × side

Triangle: Area = 1/2 × base × height

Circle: Area = π × radius²

4. What is the formula of volume used for?

Volume is an important concept in mathematics and physics, and it has many real-world applications. For example, volume is used to calculate the amount of water in a swimming pool, the amount of air in a balloon, and the amount of concrete required to build a foundation.

5. How to remember formulas of surface area and volume class 9?

You can refer to NCERT Solutions for Class 9 Maths Chapter 13 - Surface Areas And Volumes by Vedantu.

STUDY MATERIALS FOR CLASS 9

myCBSEguide

  • Mathematics
  • CBSE Class 9 Mathematics...

CBSE Class 9 Mathematics Case Study Questions

Table of Contents

myCBSEguide App

Download the app to get CBSE Sample Papers 2023-24, NCERT Solutions (Revised), Most Important Questions, Previous Year Question Bank, Mock Tests, and Detailed Notes.

If you’re looking for a comprehensive and reliable study resource and case study questions for class 9 CBSE, myCBSEguide is the perfect door to enter. With over 10,000 study notes, solved sample papers and practice questions, it’s got everything you need to ace your exams. Plus, it’s updated regularly to keep you aligned with the latest CBSE syllabus . So why wait? Start your journey to success with myCBSEguide today!

Significance of Mathematics in Class 9

Mathematics is an important subject for students of all ages. It helps students to develop problem-solving and critical-thinking skills, and to think logically and creatively. In addition, mathematics is essential for understanding and using many other subjects, such as science, engineering, and finance.

CBSE Class 9 is an important year for students, as it is the foundation year for the Class 10 board exams. In Class 9, students learn many important concepts in mathematics that will help them to succeed in their board exams and in their future studies. Therefore, it is essential for students to understand and master the concepts taught in Class 9 Mathematics .

Case studies in Class 9 Mathematics

A case study in mathematics is a detailed analysis of a particular mathematical problem or situation. Case studies are often used to examine the relationship between theory and practice, and to explore the connections between different areas of mathematics. Often, a case study will focus on a single problem or situation and will use a variety of methods to examine it. These methods may include algebraic, geometric, and/or statistical analysis.

Example of Case study questions in Class 9 Mathematics

The Central Board of Secondary Education (CBSE) has included case study questions in the Class 9 Mathematics paper. This means that Class 9 Mathematics students will have to solve questions based on real-life scenarios. This is a departure from the usual theoretical questions that are asked in Class 9 Mathematics exams.

The following are some examples of case study questions from Class 9 Mathematics:

Class 9 Mathematics Case study question 1

There is a square park ABCD in the middle of Saket colony in Delhi. Four children Deepak, Ashok, Arjun and Deepa went to play with their balls. The colour of the ball of Ashok, Deepak,  Arjun and Deepa are red, blue, yellow and green respectively. All four children roll their ball from centre point O in the direction of   XOY, X’OY, X’OY’ and XOY’ . Their balls stopped as shown in the above image.

Answer the following questions:

Answer Key:

Class 9 Mathematics Case study question 2

  • Now he told Raju to draw another line CD as in the figure
  • The teacher told Ajay to mark  ∠ AOD  as 2z
  • Suraj was told to mark  ∠ AOC as 4y
  • Clive Made and angle  ∠ COE = 60°
  • Peter marked  ∠ BOE and  ∠ BOD as y and x respectively

Now answer the following questions:

  • 2y + z = 90°
  • 2y + z = 180°
  • 4y + 2z = 120°
  • (a) 2y + z = 90°

Class 9 Mathematics Case study question 3

  • (a) 31.6 m²
  • (c) 513.3 m³
  • (b) 422.4 m²

Class 9 Mathematics Case study question 4

How to Answer Class 9 Mathematics Case study questions

To crack case study questions, Class 9 Mathematics students need to apply their mathematical knowledge to real-life situations. They should first read the question carefully and identify the key information. They should then identify the relevant mathematical concepts that can be applied to solve the question. Once they have done this, they can start solving the Class 9 Mathematics case study question.

Students need to be careful while solving the Class 9 Mathematics case study questions. They should not make any assumptions and should always check their answers. If they are stuck on a question, they should take a break and come back to it later. With some practice, the Class 9 Mathematics students will be able to crack case study questions with ease.

Class 9 Mathematics Curriculum at Glance

At the secondary level, the curriculum focuses on improving students’ ability to use Mathematics to solve real-world problems and to study the subject as a separate discipline. Students are expected to learn how to solve issues using algebraic approaches and how to apply their understanding of simple trigonometry to height and distance problems. Experimenting with numbers and geometric forms, making hypotheses, and validating them with more observations are all part of Math learning at this level.

The suggested curriculum covers number systems, algebra, geometry, trigonometry, mensuration, statistics, graphing, and coordinate geometry, among other topics. Math should be taught through activities that include the use of concrete materials, models, patterns, charts, photographs, posters, and other visual aids.

CBSE Class 9 Mathematics (Code No. 041)

Class 9 Mathematics question paper design

The CBSE Class 9 mathematics question paper design is intended to measure students’ grasp of the subject’s fundamental ideas. The paper will put their problem-solving and analytical skills to the test. Class 9 mathematics students are advised to go through the question paper pattern thoroughly before they start preparing for their examinations. This will help them understand the paper better and enable them to score maximum marks. Refer to the given Class 9 Mathematics question paper design.

QUESTION PAPER DESIGN (CLASS 9 MATHEMATICS)

Mycbseguide: blessing in disguise.

Class 9 is an important milestone in a student’s life. It is the last year of high school and the last chance to score well in the CBSE board exams. myCBSEguide is the perfect platform for students to get started on their preparations for Class 9 Mathematics. myCBSEguide provides comprehensive study material for all subjects, including practice questions, sample papers, case study questions and mock tests. It also offers tips and tricks on how to score well in exams. myCBSEguide is the perfect door to enter for class 9 CBSE preparations.

Test Generator

Create question paper PDF and online tests with your own name & logo in minutes.

Question Bank, Mock Tests, Exam Papers, NCERT Solutions, Sample Papers, Notes

Related Posts

  • Competency Based Learning in CBSE Schools
  • Class 11 Physical Education Case Study Questions
  • Class 11 Sociology Case Study Questions
  • Class 12 Applied Mathematics Case Study Questions
  • Class 11 Applied Mathematics Case Study Questions
  • Class 11 Mathematics Case Study Questions
  • Class 11 Biology Case Study Questions
  • Class 12 Physical Education Case Study Questions

14 thoughts on “CBSE Class 9 Mathematics Case Study Questions”

This method is not easy for me

aarti and rashika are two classmates. due to exams approaching in some days both decided to study together. during revision hour both find difficulties and they solved each other’s problems. aarti explains simplification of 2+ ?2 by rationalising the denominator and rashika explains 4+ ?2 simplification of (v10-?5)(v10+ ?5) by using the identity (a – b)(a+b). based on above information, answer the following questions: 1) what is the rationalising factor of the denominator of 2+ ?2 a) 2-?2 b) 2?2 c) 2+ ?2 by rationalising the denominator of aarti got the answer d) a) 4+3?2 b) 3+?2 c) 3-?2 4+ ?2 2+ ?2 d) 2-?3 the identity applied to solve (?10-?5) (v10+ ?5) is a) (a+b)(a – b) = (a – b)² c) (a – b)(a+b) = a² – b² d) (a-b)(a+b)=2(a² + b²) ii) b) (a+b)(a – b) = (a + b

MATHS PAAGAL HAI

All questions was easy but search ? hard questions. These questions was not comparable with cbse. It was totally wastage of time.

Where is search ? bar

maths is love

Can I have more questions without downloading the app.

I love math

Hello l am Devanshu chahal and l am an entorpinior. I am started my card bord business and remanded all the existing things this all possible by math now my business is 120 crore and my business profit is 25 crore in a month. l find the worker team because my business is going well Thanks

Leave a Comment

Save my name, email, and website in this browser for the next time I comment.

Study Material

case study questions on surface area and volume class 9

Home > Class 9 Maths Important Questions

Surface Areas and Volumes Class 9 Maths Important Questions

Chapter 11 of Class 9 Surface Area And Volume is very important as many questions are framed in final examinations. In this chapter, you will learn how to calculate the lateral surface area, curved surface area, and total surface area of various shapes. The PDFs will also cover Ch 11 Maths Class 9 Extra Questions for extra help.

PREMIUM EDUCART QUESTIONS

<cta2> Download <cta2>

(Important Questions of this Chapter from our  book)

We have added the links to Important Questions PDFs for Surface Area and Volume Class 9 Important Questions in the table given below. You can download them without having to share any login info.

📈 Trending: NCERT Solutions for Class 9

📝 Recommended: Important Questions PDFs for Class 9

📚 Don’t Miss: Class 9 2023-24 Sample Papers

We hope that you practice the above Important Questions of Surface Area and Volume Class 9 and achieve your dream marks.

All the Best!

CBSE Class 9 Syllabus

Ncert books for class 9, ncert exemplar for class 9, class 9 important questions.

Buy Latest Books

Teacher's Corner

Main image

To Download PDF

Please verify your Whatsapp number first, so you can download unlimited pdfs for free

Please type a valid 10 digit whatsapp number

case study questions on surface area and volume class 9

OTP sent, check your whatsapp

Your OTP is incorrect, Please enter valid OTP

educart telegram

  • Mathematics (Standard)
  • Mathematics (Basic)
  • Social Science
  • Computer Application
  • Information Technology
  • English Core
  • Mathematics
  • Accountancy
  • Business Studies
  • Political Science
  • Science (Hindi )
  • Maths (Hindi)
  • Social Science (Hindi )
  • English (Hindi)
  • Applied Maths
  • Physical Education
  • 40 Sample Papers
  • English Language
  • English Literature
  • History & Civics
  • 10 Year Solved Papers
  • Class 10 Science
  • Class 10 Maths
  • Class 10 English
  • Class 12 Physics
  • Class 12 Chemistry
  • Class 12 Biology
  • Class 12 Maths
  • Class 12 English
  • Math Standard
  • Computer Applications
  • Class 12 PCM Bundle
  • Entrance Exam
  • K-8 Raspberry Solutions
  • K-8 Kiwi Solutions

case study questions on surface area and volume class 9

  • Class 9 Maths MCQs
  • Chapter 13 Surface Areas and Volumes Mcq

Class 9 Maths Chapter 13 Surface Areas and Volumes MCQs

Class 9 Maths Chapter 13 Surface areas and volumes MCQs are provided here with solutions. All the objective questions are based on the CBSE syllabus and the latest NCERT curriculum. Students are advised to practise these chapter-wise questions to prepare for final exams to score well. Also, check Important Questions for Class 9 Maths .

Click on the below link to get more MCQs on Class 9 Maths Chapter 13 Surface Areas and Volumes.

Class 9 Maths Chapter 13 Surface Areas and Volumes MCQs – Practice Questions

MCQs on Class 9 Maths Chapter 13 Surface Areas and Volumes

Students of 9th Standard can choose the correct option and solve the MCQs on Surface areas and volumes.

1) The formula to find the surface area of a cuboid of length (l), breadth (b) and height (h) is:

a. lb+bh+hl

b. 2(lb+bh+hl)

2) The surface area of a cube whose edge equals to 3cm is:

a. 62 sq.cm

b. 30 sq.cm

c. 54 sq.cm

d. 90 sq.cm

Explanation: Given, a = 3 cm

Surface area of cube = 6a 2

SA = 6 x 3 x 3 = 54 sq.cm

3) The surface area of cuboid-shaped box having length=80 cm, breadth=40cm and height=20cm is:

a. 11200 sq.cm

b. 13000 sq.cm

c. 13400 sq.cm

d. 12000 sq.cm

Explanation: surface area of the box = 2(lb + bh + hl)

= 2 × 5600 = 11200 sq.cm.

4) The volume of a hemisphere whose radius is r is:

a. 4/3 πr 3

5) If the radius of a cylinder is 4cm and height is 10cm, then the total surface area of a cylinder is:

a. 440 sq.cm

b. 352 sq.cm.

c. 400 sq.cm

d. 412 sq.cm

Explanation: Total Surface Area of a Cylinder = 2πr(r + h)

TSA = 2 x 22/7 x 4(4 + 10)

= (2x22x4x14)/7

= (2x22x4x2)

= 352 sq.cm

6) The curved surface area of a right circular cylinder of height 14 cm is 88 cm 2 . The diameter of the base is:

Explanation: Curved surface area of cylinder = 88 sq.cm

Height = 14 cm

Diameter = 2r = 2cm

7) The Curved surface area of a right circular cylinder is 4.4 sq.cm. The radius of the base is 0.7 cm. The height of the cylinder will be:

Explanation: Curved surface area of cylinder = 2πrh

h = 4.4/(2π x 0.7)

8) The diameter of the base of a cone is 10.5 cm, and its slant height is 10 cm. The curved surface area is:

a. 150 sq.cm

b. 165 sq.cm

c. 177 sq.cm

d. 180 sq.cm

Explanation: Diameter = 10.5, Radius = 10.5/2

Slant height, l = 10cm

Curved surface area of cone = πrl = π(5.25)(10)

CSA = 165 sq.cm

9) If slant height of the cone is 21cm and the diameter of the base is 24 cm. The total surface area of a cone is:

a. 1200.77 sq.cm

b. 1177 sq.cm

c. 1222.77 sq.cm

d. 1244.57 sq.cm

Explanation: Total surface area = πr(l + r)

r = 24/2 = 12 cm

TSA = π(12)(21 + 12) = 1244.57 sq.cm

10) The surface area of a sphere of radius 14 cm is:

a. 1386 sq.cm

b. 1400 sq.cm

c. 2464 sq.cm

d. 2000 sq.cm

Explanation: Radius of sphere, r = 14 cm

Surface area = 4πr 2

= 4 x 22/7 x (14) 2 = 2464 sq.cm.

11) The radius of a sphere is 2r, then its volume will be

(a) (4/3) πr 3

(c) (8/3) πr 3

(d) (32/3) πr 3

Explanation:

Given : r=2r

The volume of sphere = (4/3)πr 3 = (4/3)π(2r) 3

V = (4/3)π(8r 3 ) = (32/3)πr 3 .

12) The radius of a hemispherical balloon increases from 6 cm to 12 cm as air is being pumped into it. The ratio of the surface areas of the balloon in the two cases is

We know that the total surface area of the hemisphere = 3πr 2 square units.

If r= 6cm, then TSA = 3π(6) 2 = 108π

If r = 12 cm, then TSA = 3π(12) 2 = 432π

Then the ratio = (108π)/(432π)

Ratio = ¼, which is equal to 1:4.

13) The total surface area of a cube is 96 cm 2 . The volume of the cube is:

(a) 8 cm 3  

(b) 512 cm 3

(c) 64 cm 3

(d) 27 cm 3

We know that the TSA of the cone = 6a 2 .

6a 2 = 96 cm 2

a 2 = 96/6 = 16

The volume of cone = a 3 cubic units

V = 4 3 = 64cm 3 .

14) The length of the longest pole that can be put in a room of dimensions (10 m × 10 m × 5m) is

Given: l=10m, b= 10m, h= 5m

The length of the longest pole = √[10 2 +10 2 +5 2 ]

= √(100+100+25) = √225 = 15 m.

15) A cone is 8.4 cm high and the radius of its base is 2.1 cm. It is melted and recast into a sphere. The radius of the sphere is

(c) 2. 4 cm

Given that the height of cone = 8.4 cm

Radius of cone = 2.1 cm

Also, given that the volume of cone = volume of a sphere

(⅓)πr 2 h = (4/3)πr 3

(⅓)π(2.1) 2 (8.4) = (4/3)πr 3

37.044= 4r 3

r 3 = 37.044/4

r 3 = 9.261

Therefore, the radius of the sphere is 2.1 cm.

16) The number of planks of dimensions (4 m × 50 cm × 20 cm) that can be stored in a pit that is 16 m long, 12m wide and 4 m deep is

Volume of Plank = 400 cm×50cm×20cm=400000cm 3

Volume of pits = 1600cm×1200cm×400cm = 768000000cm 3

Number of planks = Volume of planks/Volume of pits

= 768000000/400000

Hence, the number of pits = 1920

17) In a cylinder, the radius is doubled and height is halved, the curved surface area will be

(b) Doubled

(d) Four times

We know that the curved surface area of a cylinder is 2πrh

Given that, r = 2R, h= H/2

Hence, the CSA of new cylinder = 2π(2R)(H/2) = 2πRH 

Therefore, the answer is “Same”.

18) The lateral surface area of a cube is 256 m 2 . The volume of the cube is

(a) 512 m 3

(c) 216 m 3

(d) 256 m 3

The lateral surface area of cube = 4a 2

a 2 = 256/4 =64

Hence, the volume of cube = a 3 cube units 

V = 8 3  = 512 m 3 .

19) The total surface area of a cone whose radius is r/2 and slant height 2l is

(a) 2πr(l+r)

(b) πr(l+(r/4))

(c) πr(l+r)

The total surface area of cone = πr(l+r) square units.

If r = r/2 and l= 2l, then the TSA of cone becomes,

TSA of cone = π(r/2)[(2l+(2/r)]

=π[(rl)+(r 2 /4)]

TSA of new cone =πr[l+(r/4)]

20) The radii of two cylinders are in the ratio of 2:3 and their heights are in the ratio of 5:3. The ratio of their volumes is:

Given that, the radii of two cylinders are in the ratio of 2:3

Hence, r 1 = 2r, r 2 = 3r

Also, given that, the height of two cylinders are in the ratio 5:3.

Hence, h 1 = 5h, h 2 = 3h

The ratio of the volume of two cylinders = V 1 /V 2

= πr 1 2 h 1 /πr 2 2 h 2

= [(2r) 2 (5h)]/[(3r) 2 (3h)]

Ratio of their volumes =(20r 2 h)/(27r 2 h) = 20/27 = 20: 27.

Stay tuned with BYJU’S – The Learning App and download the app today to get more class-wise concepts.

Leave a Comment Cancel reply

Your Mobile number and Email id will not be published. Required fields are marked *

Request OTP on Voice Call

Post My Comment

case study questions on surface area and volume class 9

this was really helpful for me in the exams. BYJU’S is very good I always prepare my notes and extra study material from BYJU’S only and I always score good marks. THANKYOU VERY MUCH !!!!

Love you byjus he clears my all doubt and I score more then 90 % in maths and that is very very easy when you will study with byjus😁

Thank you byjus

Thank u byjus

I DONT LIKE BYJUS I LOVE BYJUS

It is very important and useful in my exams 😁

Thanks a lot byjus

Today is my exam and this quiz is very halpful for me thank you

case study questions on surface area and volume class 9

  • Share Share

Register with BYJU'S & Download Free PDFs

Register with byju's & watch live videos.

close

IMAGES

  1. NCERT Solutions Class 9 Maths Chapter 13 Surface Areas and Volumes

    case study questions on surface area and volume class 9

  2. Class-9-Surface areas and volumes-Part 3

    case study questions on surface area and volume class 9

  3. Volume And Surface Area Worksheet + Answers (Foundation GCSE

    case study questions on surface area and volume class 9

  4. class 9 case study questions maths surface area and volume

    case study questions on surface area and volume class 9

  5. NCERT Solutions Class 9 Maths Chapter 13 Surface Area and Volume

    case study questions on surface area and volume class 9

  6. NCERT Solutions Class 9 Maths Chapter 13 Surface Areas and Volumes

    case study questions on surface area and volume class 9

VIDEO

  1. Class 10 Maths Ch 13

  2. CLASS IX :SAMPLE QUESTIONS ANSWER FOR SURFACE AREA AND VOLUME

  3. Surface Area And Volume

  4. Exe.11.3(Q2)|Surface Area&Volumes|Ch-11|Maths 2023-24|Class 9|CBSE NCERT

  5. Class 9 Maths Surface Area and Vol.important question 🔥2024 cbse one shot🏆

  6. SURFACE AREA AND VOLUME CLASS 9

COMMENTS

  1. Class 9 Maths Case Study Questions of Chapter 13 Surface Areas and

    Case Study/Passage-Based Questions. Case Study 1: A class teacher brings some clay in the classroom to teach the topic of mensuration. First she forms a cylinder of radius 6 cm and height 8 cm and then she molds that cylinder into sphere. Find the volume of the cylindrical shape. (a) 288 π cm 3 (b) 244 π cm 3. (c) 240 π cm 3 (d) 216 π cm 3.

  2. CBSE Case Study Questions For Class 9 Maths Surface Areas And Volumes

    Mere Bacchon, you must practice the CBSE Case Study Questions Class 9 Maths Surface Areas and Volumes in order to fully complete your preparation.They are very very important from exam point of view. These tricky Case Study Based Questions can act as a villain in your heroic exams!. I have made sure the questions (along with the solutions) prepare you fully for the upcoming exams.

  3. 9th Maths Surface Case Study Questions and Answers 2022-23

    Class 9th Maths - Surface Case Study Questions and Answers 2022 - 2023. QB365 provides a detailed and simple solution for every Possible Case Study Questions in Class 9th Maths Subject - Surface, CBSE. It will help Students to get more practice questions, Students can Practice these question papers in addition to score best marks.

  4. Case Study Questions for Class 9 Maths Chapter 13 Surface Area and Volume

    Case Study Questions Question 1: Nakul was doing an experiment to find the radius r of a ball. For this he took a cylindrical container with radius R = 7 cm and height 10 cm. He filled the container almost half by water as shown in the figure-1. Now he dropped the ball into the … Continue reading Case Study Questions for Class 9 Maths Chapter 13 Surface Area and Volume

  5. CBSE Case Study Questions Class 9 Maths Chapter 13 Surface Areas and

    CBSE Case Study Questions Class 9 Maths Chapter 13 Surface Areas and Volumes PDF Download are very important to solve for your exam. Class 9 Maths Chapter 13 Case Study Questions have been prepared for the latest exam pattern. ... Find the volume of the cylindrical shape. (a) ... The curved surface area of the cylinder formed is (a) 550 cm 2 (b ...

  6. Class 9th Maths

    He found a square sheet 15 cm × 15 cm. He got a circular sheet just equal to the base of the cylinder cut from it. 15 cm 44 cm 15 cm 15 cm. (a) The curved surface area of the cylinder formed is. (i) 540 cm². (ii) 560 cm². (iii) 640 cm². (iv) 660 cm². (b) The radius of the base of the cylinder is.

  7. Important Questions For CBSE Class 9 Maths Chapter 13 (Surface Areas

    Important Questions For CBSE Class 9 Surface Areas and Volumes (Chapter 13) Q.1: Hameed has built a cubical water tank with a lid for his house, with each outer edge 1.5 m long. He gets the outer surface of the tank excluding the base, covered with square tiles of side 25 cm (see in the figure below). Find how much he would spend on the tiles ...

  8. CBSE Class 9 Maths Surface Areas and Volumes Case Study Questions

    Practice TestsTimed Tests. Select the number of questions for the test: TopperLearning provides a complete collection of case studies for CBSE Class 9 Maths Surface Areas and Volumes chapter. Improve your understanding of biological concepts and develop problem-solving skills with expert advice.

  9. Important Questions for CBSE Class 9 Mathematics Surface Areas and

    5. Calculate the edge of the cube if its volume is 1331 cm3. [CBSE-15-6DWMW5A] Answer. 6. If in a cylinder, radius is doubled and height is halved, then find its curved surface area. Answer. 7. The radii of two cylinders of the same height are in the ratio 4 :5, then find the ratio of their volumes.

  10. Chapter 11 Class 9 Surface Areas and Volumes

    Updated for new NCERT - 2023-24 Exams. Get solutions of all exercise questions and examples of Chapter 11 Class 9 Surface Area and Volumes from the NCERT Book. All answers are solved in an easy way, with video of each and every question. You can also check the list of all Surface Area and Volume Formulas. Click on an exercise link, or a topic ...

  11. Important Questions for CBSE Class 9 Maths Chapter 13

    Finding out the surface area and the volume of different shapes is one of the fundamental studies of mathematics, and that's what students are going to learn from the important questions for class 9 maths chapter 13.In this chapter, we will showcase different methods to solve a problem related to surface area and volume of circle, square, rectangle, cylinder, pyramid, etc. in addition to this.

  12. Surface Areas and Volumes Class 9 Notes CBSE Maths Chapter 13 ...

    CBSE Class 9 Maths Notes Chapter 13 Surface Areas and Volumes PDF. CBSE Class 9 Chapter 13 Surface Areas and Volumes contains 9 exercises, starting from 13.1 to 13.9. The solutions to these exercises are available below: Exercise 13.1: 8 questions. Exercise 13.2: 11 questions.

  13. CBSE Class 9 Mathematics Case Study Questions

    Class 9 Mathematics Case study question 2. Read the Source/Text given below and answer any four questions: Maths teacher draws a straight line AB shown on the blackboard as per the following figure. Now he told Raju to draw another line CD as in the figure. The teacher told Ajay to mark ∠ AOD as 2z.

  14. NCERT Solutions for Class 9 Maths Chapter 13 Surface Areas and Volumes

    RD Sharma Solutions for Class 9 Maths Chapter 18 Surface Area and Volume of a Cuboid and Cube; Disclaimer: Dropped Topics - 13.1 Introduction, 13.2 Surface area of a cuboid and cube, 13.3 Surface area of right circular cylinder, 13.6 Volume of cuboid and 13.7 Volume of cylinder.

  15. Surface Area and Volume Class 9 Chapter 13 Notes

    According to the CBSE Syllabus 2023-24, this chapter has been renumbered as Chapter 11. CBSE Class 9 Maths Surface Areas and Volumes Notes:-Download PDF HereThe surface area and volume for Class 9 notes are given here. In this article, the complete surface area and volume formulas for different three-dimensional shapes are discussed with a complete explanation.

  16. Surface Areas and Volumes Class 9 Extra Questions Maths Chapter 13 with

    Surface Areas and Volumes Class 9 Extra Questions Short Answer Type 1. Question 1. A spherical ball is divided into two equal halves. If the curved surface area of each half is 56.57 cm, find the volume of the spherical ball. [use π = 3.14] Solution: Since curved surface of half of the spherical ball = 56.57 cm 2. 2πr 2 = 56.57.

  17. NCERT Solutions for Class 9 Maths Chapter 13 Surface Areas and Volumes

    Ex 13.2 Class 9 Maths Question 6. Curved surface area of a right circular cylinder is 4.4 m2. If the radius of the base of the cylinder is 0.7 m, find its height.Curved surface area of a right circular cylinder is 4.4 m2. If the radius of the base of the cylinder is 0.7 m, find its height. Solution: Radius (r) = 0.7 m Let height of the cylinder ...

  18. class 9 case study questions maths surface area and volume

    #Casestudybasedquestons#SharmaTutorial#Samplepaper#CbseClass9Maths#SamplepaperMathsYour Quarries1.case study class 9 maths2.case study class 9 maths question...

  19. Surface Areas and Volumes Class 9 Maths Important Questions

    Class 9 2023-24 Sample Papers. We hope that you practice the above Important Questions of Surface Area and Volume Class 9 and achieve your dream marks. All the Best! Important Questions for NCERT Class 9 Maths chapter 11 (surface area and volume) extra questions with step by step explanation of questions are made available here. Download free PDF.

  20. Class 9 Case study Questions and Answers Maths Surface area and volume

    Case Study based questions on Surface area and volumeCBSE Class 9 Mathematics#CBSEclass9maths #nCERTsolutions #sgmathclub #ncertclass9maths #sgmathclubclass9...

  21. Class 9 Case study Questions Maths Surface area and volume Part-2

    Case Study based questions on Surface area and volume CBSE Class 9 Mathematics#CBSEclass9maths #nCERTsolutions #sgmathclub #ncertclass9maths #sgmathclubclass...

  22. Case based question

    @Maths Cluster Case study based questions of chapter Surface area and volumesCase study based questions for class 9 maths CBSE board syllabusCase study on S...

  23. Class 9 Maths Chapter 13 Surface Areas and Volumes MCQs

    Class 9 Maths Chapter 13 Surface Areas and Volumes MCQs - Practice Questions. MCQs on Class 9 Maths Chapter 13 Surface Areas and Volumes. Students of 9th Standard can choose the correct option and solve the MCQs on Surface areas and volumes. 1) The formula to find the surface area of a cuboid of length (l), breadth (b) and height (h) is: a ...