Exams › SSC CGL (Prelims) › General

A cylinder and a cone share the same base radius and have equal volumes. Find the ratio of the cylinder's height to the cone's height.

1. 1 : 3
2. 3 : 1
3. 1 : 1
4. 2 : 3

Correct answer: 1 : 3

Solution

Equal volumes with equal radii give pi*r^2*H = (1/3)*pi*r^2*h, so H = h/3, meaning H:h = 1:3. The cylinder needs only one-third the height to match the cone's volume.

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