Question

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

What is the radius of the cylinder?
O A. 4 inches
B. 8 inches
C. 16 inches
D. 32 inches

Answer 1

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

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

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}`

Answer 2

The radius is 8 inches

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