Question

what is the volume of the cone? a. 1,620π cubic inches b. 540π cubic inches c. 585.2π cubic inches d. 180π cubic inches e. 30π cubic inches f. 288π cubic inches

Explanation:

Step1: Recall cone volume formula

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

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

From the image, $r = 6$ inches and $h=15$ inches.

Step3: Substitute values into formula

$V=\frac{1}{3}\pi\times(6)^{2}\times15$.
First, calculate $(6)^{2}=36$. Then, $\frac{1}{3}\times36 = 12$. And $12\times15 = 180$. So $V = 180\pi$ cubic - inches.

Answer:

E. $180\pi$ cubic inches