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Surface Areas and Volumes
CBSE 2026 Board Exam Set 1 (Code 30/1/1)
CBSE_BOARD_PYQ_2026_30_1_1
Grade 10
Question:
[Section A]
If the radius of the base of a right circular cylinder is halved, keeping the height same, the ratio of the volume of reduced cylinder to original cylinder is:
(A) $1 : 4$
(B) $1 : 2$
(C) $2 : 1$
(D) $4 : 1$
If the radius of the base of a right circular cylinder is halved, keeping the height same, the ratio of the volume of reduced cylinder to original cylinder is:
(A) $1 : 4$
(B) $1 : 2$
(C) $2 : 1$
(D) $4 : 1$
Step-by-Step Solution
Key Concept: $V_1 = \pi r^2 h, V_2 = \pi (r/2)^2 h = V_1/4$. Ratio $1 : 4$.
Sol. (A) $1 : 4$. [1.0 Mark]
Correct Answer: (A) $1 : 4$
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