Power Functions

You can calculate the volume of a cone (see picture below) with the help of the following formula:$$V = \frac{1}{3}Sh$$Here $V$ is the sought volume, $S$ is the area of the cone base, and $h$ is its height. Knowing that $S = \pi R^{2}$ ($R$ is the radius of the base) and that the height of the cone is three times bigger than $R$, write down the volume $V$ as a power function $V(R)$. To get the result, substitute the expressions for $S$ and $h$ in the expression for $V$ and simplify it.

Example: if you think that the correct answer should be $\frac{2}{3}\pi^2$, write (2/3)*pi^2.

Denote multiplication explicitly.