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Surface Areas and Volumes

CBSE 2026 Board Exam Set 1 (Code 30/7/1)

CBSE_BOARD_PYQ_2026_30_7_1

Grade 10

Question:

[Section A]

The ratio of the volume of a sphere to the volume of a cylinder of same radius and height equal to its diameter is:

(A) $2 : 3$
(B) $1 : 3$
(C) $2 : 1$
(D) $3 : 1$

Step-by-Step Solution

Key Concept: Sphere volume $= (4/3)\pi r^3$. Cylinder volume $= \pi r^2 (2r) = 2\pi r^3$. Ratio $= 4/3 : 2 = 2 : 3$.

Sol. (A) $2 : 3$. [1.0 Mark]

Correct Answer: (A) $2 : 3$

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