Question

If the volume and the surface area of a solid sphere are numerically equal, then its radius is ____

• A. $9$ units
• B. $2$ units
• C. $6$ units
• D. $3$ units

Answer 1

The correct option is D $3$ units

Volume of sphere $=\frac{4}{3}\left(\pi \right)r^3$
Surface area of sphere $=4\left(\pi \right)r^2$

In question it is given that volume and surface area of a solid sphere are equal.

$\therefore \frac{4}{3}\left(\pi \right)r^3=4\left(\pi \right)r^2$
$\therefore r=3$ units