Question

A cylinder has a height of 7cm.

The circumference of the cylinder is 8π cm.
Calculate the volume of the cylinder in terms of π.

Answer 1

We first need to find the radius of the circle, so we need to do 8π/π which gives us a diameter of 8 cm, halving this gives us a radius of 4 cm.

The area of this circle will be:

A = πr^2

A = 4^2

A = 16π cm^2

Now to find the volume we simply multiply the area by the height:

16π × 7 = 112π cm^3 which is our final answer.