Question

Find the volume of a cylinder with radius 5 and surface area 180pi

Answers : either 200pi or 325pi help !

Answer 1

The volume of a cylinder is 325π.

Explanation:

The volume of a cylinder is given by:

`V = \pi r^(2)h`

Where:

h: is the height

r: is the radius = 5

We can find "h" from the surface area of the cylinder:

`SA = 2\pi rh + 2\pi r^(2) = 180\pi`

`h = (180\pi - 2\pi r^(2))/(2\pi r) = (180\pi - 2\pi (5)^(2))/(2\pi*5) = 13`

Hence, the volume is:

`V = \pi r^(2)h = \pi*(5)^(2)*13 = 325 \pi`

Therefore, the volume of a cylinder is 325π.

I hope it helps you!