Question

If the volume and surface area of a sphere is numerically equal then its radius is

Answer 1

Solve for the radius of sphere.

We know that, Volume of sphere$=\frac{4}{3}\pi r^3,r$is the radius of sphere

The surface area of sphere$=4\pi r^2$

As per the given condition

$$\begin{gathered} \frac{4}{3}\pi r^3=4\pi r^2 \\ \Rightarrow \frac{r}{3}=1 \\ \Rightarrow r=3 \end{gathered}$$

Hence, the required value of radius is $3\mathrm{units}.$