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Surface Areas and Volumes — Class 10 CBSE Mathematics MCQs with Solutions
Free Class 10 CBSE Mathematics Surface Areas and Volumes MCQs with step-by-step solutions. Practise online on Prepizo — no login needed.
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Sample questions with solutions
Q1 — easy
The volume of a sphere of radius r is:
A. 4πr²
B. (4/3)πr³ ✓ Correct
C. 2πr³
D. πr³
Solution: V = 4/3 πr³.
Q2 — easy
The volume of a cylinder of radius r and height h is:
A. 2πrh
B. πr²h ✓ Correct
C. πrh
D. (1/3)πr²h
Solution: V = πr²h.
Q3 — easy
The volume of a cone of radius r and height h is:
A. πr²h
B. (1/3)πr²h ✓ Correct
C. 2πrh
D. (4/3)πr³
Solution: A cone is one-third of a cylinder.
Q4 — hard
A cylinder and a cone have the same radius and height. The ratio of their volumes is:
A. 1:1
B. 1:3
C. 3:1 ✓ Correct
D. 2:3
Solution: Cylinder is three times the cone.
Q5 — hard
A cuboidal tank 6 m × 5 m × 4.5 m holds how many litres?
A. 13500 L
B. 135000 L ✓ Correct
C. 1350 L
D. 1350000 L
Solution: 135 m³ = 135000 litres.
Q6 — hard
A sphere and a cylinder have the same radius r, and the cylinder's height is 2r. The ratio of their volumes is:
A. 1:1
B. 2:3 ✓ Correct
C. 3:2
D. 1:2
Solution: Sphere 4/3 πr³ : cylinder 2πr³ = 2:3.
Q7 — medium
The curved surface area of a cone with radius r and slant height l is:
A. πrl ✓ Correct
B. 2πrl
C. πr²
D. πr(l+r)
Solution: CSA = πrl.
Q8 — medium
A hemisphere of radius 7 cm has curved surface area (π = 22/7):
A. 154 cm²
B. 308 cm² ✓ Correct
C. 462 cm²
D. 616 cm²
Solution: 2πr² = 2 × 22/7 × 49 = 308 cm².
Q9 — medium
Find the volume of a cone of radius 3 cm and height 7 cm (π = 22/7).
A. 44 cm³
B. 66 cm³ ✓ Correct
C. 88 cm³
D. 132 cm³
Solution: ⅓ × 22/7 × 9 × 7 = 66 cm³.