MCQ on Surface Areas & Volumes for Class 9 Maths Chapter 11

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Welcome to MCQ Assam School. This post contains 30 MCQs (Multiple Choice Questions) on the Class 9 Mathematics Chapter 11. The name of the chapter is “Surface Areas and Volumes”. So, basically, this post contains 30 MCQs on Surface Areas and Volumes. These MCQs will help you to understand the chapter better and will also help you prepare for your exam.

The Chapter deals with the following topics:

Surface Area of a Right Circular Cone
Surface Area of a Sphere
Volume of a Right Circular Cone
Volume of a Sphere, etc.

These MCQs can also act as a Mock Test. There are 30 MCQs. There are four options for each question. Out of the four options, only one option is correct. Choose the correct options for each question and click on the submit button to see the results. You can also, review your answers. For each right option, you will see a green check mark and for each wrong option, you will see a red cross mark. If the chosen option is wrong then a green check mark will appear near the right option. This way you will know the right answer.

Let’s begin.

30 MCQs on Surface Areas and Volumes for Class 9 Maths Chapter 11

1. What is the curved surface area of a cone with radius \( r \) and slant height \( l \)?

A. \( \pi r^2 h \) B. \( 2\pi r l \) C. \( \pi r l \) D. \( \pi r (l + r) \)

2. The total surface area of a cone includes:

A. Only the curved surface B. Curved surface + one circular base C. Curved surface + two circular bases D. Only the base

3. A cone has radius 7 cm and slant height 25 cm. What is its height?

A. 24 cm B. 20 cm C. 22 cm D. 18 cm

4. The surface area of a sphere of radius \( r \) is:

A. \( 2\pi r^2 \) B. \( 4\pi r^3 \) C. \( 4\pi r^2 \) D. \( \frac{4}{3}\pi r^3 \)

5. A hemispherical bowl with radius 21 cm has a total surface area of:

A. \( 2772 \, \text{cm}^2 \) B. \( 4158 \, \text{cm}^2 \) C. \( 1386 \, \text{cm}^2 \) D. \( 5544 \, \text{cm}^2 \)

6. The volume of a cone with radius 3.5 cm and height 12 cm is:

A. \( 154 \, \text{cm}^3 \) B. \( 184 \, \text{cm}^3 \) C. \( 1232 \, \text{cm}^3 \) D. \( 462 \, \text{cm}^3 \)

7. If the radius of a sphere doubles, its surface area becomes:

A. 2 times B. 4 times C. 8 times D. 16 times

8. A conical tent with radius 7 m and height 24 m has a slant height of:

A. 25 m B. 28 m C. 30 m D. 32 m

9. The volume of a hemisphere with radius 3.5 cm is:

A. \( 89.8 \, \text{cm}^3 \) B. \( 179.6 \, \text{cm}^3 \) C. \( 1437 \, \text{cm}^3 \) D. \( 269.5 \, \text{cm}^3 \)

10. A sphere of radius 10.5 cm has a surface area of:

A. \( 1386 \, \text{cm}^2 \) B. \( 5544 \, \text{cm}^2 \) C. \( 4158 \, \text{cm}^2 \) D. \( 2772 \, \text{cm}^2 \)

11. The ratio of the surface areas of two spheres with radii 7 cm and 14 cm is:

A. 1:2 B. 1:4 C. 1:8 D. 1:16

12. A cylindrical vessel just encloses a sphere of radius \( r \). The ratio of their surface areas is:

A. 1:1 B. 2:1 C. 3:2 D. 4:3

13. A hemispherical dome with circumference 17.6 m has a radius of:

A. 2.8 m B. 3.5 m C. 4.2 m D. 5.6 m

14. The volume of a sphere is \( \frac{4}{3}\pi r^3 \). If its diameter is 28 cm, its volume is:

A. \( 11498.67 \, \text{cm}^3 \) B. \( 1437.33 \, \text{cm}^3 \) C. \( 7186.67 \, \text{cm}^3 \) D. \( 3593.33 \, \text{cm}^3 \)

15. A conical pit with top diameter 3.5 m and depth 12 m has a capacity of:

A. \( 38.5 \, \text{kL} \) B. \( 77 \, \text{kL} \) C. \( 115.5 \, \text{kL} \) D. \( 154 \, \text{kL} \)

16. The curved surface area of a cone is 308 cm². If its slant height is 14 cm, its radius is:

A. 7 cm B. 14 cm C. 21 cm D. 28 cm

17. A hollow sphere with diameter 7 m has a surface area of:

A. \( 154 \, \text{m}^2 \) B. \( 308 \, \text{m}^2 \) C. \( 462 \, \text{m}^2 \) D. \( 616 \, \text{m}^2 \)

18. The volume of a hemisphere with radius 10 cm is:

A. \( 2095.24 \, \text{cm}^3 \) B. \( 4188.79 \, \text{cm}^3 \) C. \( 3141.59 \, \text{cm}^3 \) D. \( 1396.26 \, \text{cm}^3 \)

19. If the moon’s diameter is \( \frac{1}{4} \) of Earth’s, the ratio of their volumes is:

A. \( 1:64 \) B. \( 1:16 \) C. \( 1:4 \) D. \( 1:8 \)

20. A hemispherical tank with inner radius 1 m and thickness 1 cm has iron volume:

A. \( 0.063 \, \text{m}^3 \) B. \( 0.126 \, \text{m}^3 \) C. \( 0.189 \, \text{m}^3 \) D. \( 0.252 \, \text{m}^3 \)

21. A capsule of diameter 3.5 mm has a volume of:

A. \( 22.46 \, \text{mm}^3 \) B. \( 11.23 \, \text{mm}^3 \) C. \( 5.61 \, \text{mm}^3 \) D. \( 44.92 \, \text{mm}^3 \)

22. A joker’s cap with radius 7 cm and height 24 cm requires sheet area for 10 caps:

A. \( 5500 \, \text{cm}^2 \) B. \( 11000 \, \text{cm}^2 \) C. \( 2200 \, \text{cm}^2 \) D. \( 3300 \, \text{cm}^2 \)

23. A conical tent with height 8 m and base radius 6 m requires tarpaulin of width 3 m. The length needed is:

A. 44 m B. 52.4 m C. 62.8 m D. 31.4 m

24. The cost of painting 50 hollow cones (diameter 40 cm, height 1 m) at ₹12/m² is:

A. ₹ 384.34 B. ₹ 768.68 C. ₹ 192.17 D. ₹ 960.85

25. The volume of a right circular cylinder enclosing a sphere of radius \( r \) is:

A. \( \frac{4}{3}\pi r^3 \) B. \( 2\pi r^3 \) C. \( \pi r^2 h \) D. \( 3\pi r^3 \)

26. A solid iron sphere of radius \( r \) is melted to form 27 smaller spheres. The radius of each small sphere is:

A. \( \frac{r}{3} \) B. \( \frac{r}{9} \) C. \( \frac{r}{27} \) D. \( \frac{r}{6} \)

27. A hemispherical bowl of diameter 10.5 cm can hold:

A. 0.303 litres B. 0.606 litres C. 0.909 litres D. 1.212 litres

28. The mass of a metallic ball (diameter 4.2 cm, density 8.9 g/cm³) is approximately:

A. 345.4 g B. 290.5 g C. 523.6 g D. 672.3 g

29. The volume of a cone formed by revolving a right triangle (sides 5 cm, 12 cm, 13 cm) about side 12 cm is:

A. \( 100\pi \, \text{cm}^3 \) B. \( 144\pi \, \text{cm}^3 \) C. \( 120\pi \, \text{cm}^3 \) D. \( 60\pi \, \text{cm}^3 \)

30. The curved surface area of a hemisphere is \( 2\pi r^2 \). If the radius is 10 cm, its total surface area is:

A. \( 300\pi \, \text{cm}^2 \) B. \( 200\pi \, \text{cm}^2 \) C. \( 150\pi \, \text{cm}^2 \) D. \( 100\pi \, \text{cm}^2 \)

Review Your Answers Above.

MCQ on Number Systems | Class 9 Mathematics Chapter 1
MCQ on Polynomials | Class 9 Mathematics Chapter 2
MCQ on Coordinate Geometry | Class 9 Mathematics Chapter 3
MCQ on Linear Equations in Two Variables | Class 9 Mathematics Chapter 4
MCQ on Introduction to Euclid’s Geometry | Class 9 Mathematics Chapter 5
MCQ on Lines and Angles | Class 9 Mathematics Chapter 6
MCQ on Triangles | Class 9 Mathematics Chapter 7
MCQ on Quadrilaterals | Class 9 Mathematics Chapter 8
MCQ on Circles | Class 9 Mathematics Chapter 9
MCQ on Heron’s Formula | Class 9 Mathematics Chapter 10
MCQ on Statistics | Class 9 Mathematics Chapter 12

The Bottom Line

I hope these 30 Multiple-choice questions have helped you learn more about Class 9 Mathematics Chapter 11 (Surface Areas and Volumes) in detail. You can retake the test anytime you want by refreshing the page and review your results.

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Abdur Rohman

Abdur Rohman is an Electrical Engineer from Charaideo, Assam, who wears multiple hats as a part-time teacher, blogger, entrepreneur, and digital marketer. Passionate about education, he founded The Assam School blog to provide free, comprehensive textbook solutions, MCQs (Multiple Choice Questions), and other academic content for students from Class V to XII.

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MCQ on Surface Areas and Volumes | Class 9 Mathematics Chapter 11