Question

find the volume of a cone with a radius of 5 centimeters and a height of 15 centimeters. use the formula v = $\frac{1}{3}pi r^{2}h$. the volume of the cone is cubic centimeters. (simplify your answer. type an exact answer in terms of $pi$.)

Explanation:

Step1: Substitute values into formula

Given $r = 5$ cm and $h=15$ cm, substitute into $V=\frac{1}{3}\pi r^{2}h$. So $V=\frac{1}{3}\pi\times5^{2}\times15$.

Step2: Calculate the value

First, $5^{2}=25$. Then $\frac{1}{3}\times25\times15\pi$. $\frac{1}{3}\times15 = 5$, and $5\times25\pi=125\pi$.

Answer:

$125\pi$