find the volume of the right cone below in terms of $pi$.

Answer:

$36\pi$

Explanation:

Step1: Identify radius and height

Radius $r = \frac{6}{2}=3$, height $h = 12$.

Step2: Recall volume formula

Volume of cone $V=\frac{1}{3}\pi r^{2}h$.

Step3: Substitute values

$V=\frac{1}{3}\pi\times3^{2}\times12$.

Step4: Calculate result

$V=\frac{1}{3}\pi\times9\times 12 = 36\pi$.