Question

The numerical value of the volume of a sphere is equal to the numerical value of its surface area.

Answer 1

Answer:

The radius of this sphere is $3$.

Step-by-step explanation:

The volume of a sphere of radius $r$ is:

$\displaystyle V = \frac{4}{3}\, \pi\, r^{3}$.

The surface area of a sphere of radius $r$ is:

$A = \pi\, (2\, r)^{2}$.

Equate the right-hand side of these two expressions and solve for $r$:

$r = 3$.

In other words, the radius of this sphere is $3$.