The radius of a sphere is increasing at the rate of `0.2` `cm`/`sec`. The rate at which the volume of the sphere increases when radius is `15 cm`, is

Explanation

To solve the problem step by step, we need to find the rate at which the volume of the sphere is increasing when the radius is 15 cm and the radius is increasing at a rate of 0.2 cm/sec.

### Step 1: Understand the formula for the volume of a sphere
The volume \( V \) of a sphere is given by the formula:
\[ V = \frac{4}{3} \pi r^3 \]

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