find the volume of the cone. either enter an exact answer in terms of π or use 3.14 for π and round your…

Explanation:

Step1: Recall volume - formula for a cone

The volume formula for a cone is $V=\frac{1}{3}\pi r^{2}h$, where $r$ is the radius of the base and $h$ is the height of the cone.

Step2: Identify the values of $r$ and $h$

From the figure, the radius $r = 3$ and the height $h=2$.

Step3: Substitute the values into the formula

Substitute $r = 3$ and $h = 2$ into the formula $V=\frac{1}{3}\pi r^{2}h$. We get $V=\frac{1}{3}\pi\times3^{2}\times2$.

Step4: Simplify the expression

First, calculate $3^{2}=9$. Then, $\frac{1}{3}\times9\times2\pi$. $\frac{1}{3}\times9 = 3$, and $3\times2\pi=6\pi$. If we use $\pi = 3.14$, then $V=6\times3.14 = 18.84$.

Answer:

$6\pi$ or $18.84$ units$^{3}$