Question:
If the volume and the surface area of a sphere are numerically the same, the nits radius is
(a) 1 unit
(b) 2 units
(c) 3 units
(d) 4 units
Solution:
(c) 3 units
We have:
$\frac{4}{3} \pi r^{3}=4 \pi r^{2}$
$\Rightarrow \frac{1}{3} r=1$
$\Rightarrow r=3$ units