Help please. Geometry question.

Question

asked Sep 5, 2021 22.3k views

1 Answer

RCT · Answer 1 · 2021-09-10T05:29:43+0000

Answer:

$volume = 2197 \pi~in.^3 \approx 6902.1~in.^3$

Explanation:

$base~ area = 169 \pi~in.^2$

The base of the cylinder is a circle.

The area of a circle is:

$area = \pi r^2$

We set the area equal to the formula and find the radius.

$\pi r^2 = 169 \pi~in.^2$

r^2 = 169~in.^2

r = 13~in.

The radius of the base is 13 inches. The height of the cylinder is also 13 inches.

volume = base~area * height

$volume = 169 \pi~in.^2 * 13~in.$

$volume = 2197 \pi~in.^3 \approx 6902.1~in.^3$