A separate solid hemisphere and cylinder have the same radius $4$ cm. Their volume ratio, hemisphe

Question

A separate solid hemisphere and cylinder have the same radius $4$ cm. Their volume ratio, hemisphere : cylinder, is $2:3$. Find the cylinder height. A second solid hemisphere has $27$ times the first hemisphere’s volume. Find its total surface area in terms of $\pi$.

Accepted Answer

(a) $4$ cm; (b) $432\pi\text{ cm}^2$.

Hemisphere-cylinder volume ratio and enlargement

Hemisphere-cylinder volume ratio and enlargement

Solution:

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