Find the rate of change of the volume of a ball with respect to its radius  How fast is the volume changing with respect to the radius when the radius is 2 cm?

Explanation

Let `V` be the volume of the spherical ball. Then,



`V=frac{4}{3} pi r^{3}`


`Rightarrow frac{d V}{d r}=4 pi r^{2}`



Thus, the rate of change of the volume of the sphere is `4 pi r^{2}`.


When `{r}=2 {cm}`,



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