Question

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

Answer 1

Volume of hemisphere = S.A of hemisphere
$\frac{2}{3}$$\pi$$r^3$ = 3$\pi$$r^2$
$\frac{2}{3}$r = 3
r = $\frac{9}{2}$
diameter =$\frac{9}{2}$ $\times$ 2
=9