Question

Find the height, to the nearest cm, of a cylinder that has a radius of 9cm and a volume of 3817 cm cubed

Answer 1

15

Explanation:

The formula for the area of a cylinder is
`A=\pi r^(2)h` where h is height and r is radius. This is because we are finding the area of a circle, then multiplying by the height.

We solve:

`(A)/(h) = \pi r^(2)`

`(A)/(h)=\pi 81`

So A/h is approximately 254.

The area is 3817, so 3817/h=254, and 3817=254h and finally, 3817/254=h. This leaves us with slightly over 15 because we estimated pi. The answer is 15.