What is the rate of change of the volume of a sphere with respect to its radius when the radius is 2 cm?

Explanation

1. 01

   $\frac{dV}{dr} = \frac{d}{dr}\left(\frac{4}{3}\pi r^3\right) = 4\pi r^2$.

2. 02

   At $r = 2$: $16\pi$ cm³ per cm.