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(C) right circular cylinder circumscribes a hemisphere such that their bases are common.Let the radius of the hemisphere be $r$.Since the cylinder cir

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$2:3$

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(C) right circular cylinder circumscribes a hemisphere such that their bases are common.Let the radius of the hemisphere be $r$.Since the cylinder circumscribes the hemisphere,the radius of the cylinder is also $r$,and the height of the cylinder is equal to the radius of the hemisphere,which is $r$.Volume of the hemisphere $= \frac{2}{3} \pi r^3$.Volume of the cylinder $= \pi r^2 h = \pi r^2 (r) = \pi r^3$.The ratio of the volume of the hemisphere to the volume of the cylinder is $\frac{\frac{2}{3} \pi r^3}{\pi r^3} = \frac{2}{3}$.Thus,the ratio is $2:3$.

$A$ right circular cylinder is circumscribing a hemisphere such that their bases are common. The ratio of their volumes is

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