Question

Help please. Geometry question.

Answer 1

Answer:

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

Step-by-step 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.

$volume = base~area \times height$

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

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