Class 10 Mathematics Chapter 12: Surface Areas and Volumes — practice questions with answers
Free practice for Class 10 Mathematics, Chapter 12: Surface Areas and Volumes. Try the solved questions below, then take a free test with instant marking and explanations.
53 questions20 easy, 23 medium, 10 hardNCERT · CBSE · State boards
Sample questions with solutions
Q1. A test tube is a combination of which two solids?
- A cylinder and a hemisphere
- A cone and a cylinder
- A cube and a hemisphere
- Two cones
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Answer: A. A cylinder and a hemisphere
Why: The rounded bottom is a hemisphere. [p.162]
Why: The rounded bottom is a hemisphere. [p.162]
Q2. The curved surface area of a hemisphere of radius r is ______ πr² (write the number in words).
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Answer: two
Why: CSA of hemisphere = ½ × 4πr² = 2πr². [p.163]
Why: CSA of hemisphere = ½ × 4πr² = 2πr². [p.163]
Q3. The volume of a cone of radius r and height h is ______.
- (1/3)πr²h
- πr²h
- (2/3)πr³
- πrl
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Answer: A. (1/3)πr²h
Why: One-third of the cylinder with the same base and height. [p.169]
Why: One-third of the cylinder with the same base and height. [p.169]
Q4. The volume of a hemisphere of radius r is ______.
- (2/3)πr³
- (4/3)πr³
- 2πr²
- (1/3)πr³
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Answer: A. (2/3)πr³
Why: Half of (4/3)πr³. [p.168]
Why: Half of (4/3)πr³. [p.168]
Q5. The curved surface area of a cone with radius r and slant height l is ______.
- πrl
- 2πrl
- πr²
- πr(l + r)
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Answer: A. πrl
Why: CSA of cone = πrl. [p.163]
Why: CSA of cone = πrl. [p.163]
Q6. A tanker on a truck is usually a cylinder with two ______ at its ends.
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Answer: hemispheres
Why: Fig. 12.2 / 12.4. [p.161]
Why: Fig. 12.2 / 12.4. [p.161]
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Frequently asked questions
How many practice questions are there for Class 10 Mathematics Chapter 12: Surface Areas and Volumes?
53 questions (20 easy, 23 medium, 10 hard). A few are solved on this page; the free test shows the answer and explanation for every question after you submit.
Is this chapter from the NCERT book?
Yes — it follows the NCERT Class 10 Mathematics syllabus, used by CBSE and many state boards.