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

Answer

$\frac{2}{3} \pi\text{r}^{3} = 3\pi\text{r}^{2}\Rightarrow \text{r} = \frac{9}{2} \text{units}$
$\therefore \text{d} = 9 \text{ units}$

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