Question

A cylinder has a volume of 320 cubic inches and a height of 5 inches.

Answer 1

Answer:

The radius is 8 inches

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

Assuming you mean 320 pi for the volume

320  pi = pi r^2 ( 5)

320 =5pi r^2

Divide each side by 5pi

320 pi / 5pi = 5 pi r^2 / 5pi

64 = r^2

Take the square root of each side

sqrt(64) = sqrt(r^2)

8 = r

The radius is 8 inches

Answer 2

Answer:

$\Huge \boxed{\mathrm{4.51 \ inches}}$

$\rule[225]{225}{3}$

Step-by-step explanation:

$V=\pi r^2 h$

The volume is 320 in³.

The height is 5 in.

$320=\pi r^2 * (5)$

Solving for $r$.

Dividing both sides by 5.

$64=\pi r^2$

Dividing both sides by $\pi$.

$20.371833=r^2$

Taking the square root of both sides.

$r= 4.513517$

The radius is 4.51 inches.

$\rule[225]{225}{3}$