Question

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

Answer 1

Answer:

The volume of a cylinder is 325π.

Step-by-step 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:

$SA = 2\pi rh + 2\pi r^{2} = 180\pi$

$h = \frac{180\pi - 2\pi r^{2}}{2\pi r} = \frac{180\pi - 2\pi (5)^{2}}{2\pi*5} = 13$

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!