Question

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Here's the question....



Volume and surface area of a solid hemisphere are numerically equal. What is the diameter of the hemisphere?


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Answer 1

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Answer 2

$given \: the \\ \\ volume \: of \: hemisphere = surface \: area \: of \: hemisphere \\ \\ = \frac{2}{3}\pi {r}^{3} = 2\pi {r}^{2} \\ \\ = \frac{1}{3} r = 1 \\ \\ = r = 3 \\ \\ so \: diameter \: \\ d = 2r \\ \\ d = 2 \times 3 \\ \\ d = 6$

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