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:

$\frac{V}{\pi r^2}=h$

Now, we plug in the values:

$\frac{105}{\pi(8)^2}=h$

Solving the operations:

$0.522=h$

Therefore, the height is 0.522.