# Question #912b3

Sep 5, 2017

Let's give it a shot.

#### Explanation:

The circumference is $2 \pi r$, so $16 \pi = 2 \pi r$

...divide both sides by $2 \pi$, giving r:

$\frac{16 \pi}{2 \pi} = r = 8$ inches

...now, the area of the circle is $\pi {r}^{2}$

$= \pi \cdot {\left(8\right)}^{2} = \pi \cdot 64$ square inches

...and the volume of a cylinder 5 inches high with this circle as the base is:

$64 \pi \cdot 5 = 320 \pi$ cubic inches.

Ima let you plug in the numbers in your calculator to calculate everything out.

GOOD LUCK!