Question

a cylinder has a volume of 105 and a radius of eight what is the height of the cylinder give an exact answer or approximation to three decimals

Answer 1

We are asked to determine the height of a cylinder given its radius and its volume. To do that we will use the formula for the volume of a cylinder:

`V=\pi r^2h`

now, we solve for the height, we get:

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

Now, we plug in the values:

`(105)/(\pi(8)^2)=h`

Solving the operations:

`0.522=h`

Therefore, the height is 0.522.