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:
[tex]V=\pi r^2h[/tex]now, we solve for the height, we get:
[tex]\frac{V}{\pi r^2}=h[/tex]Now, we plug in the values:
[tex]\frac{105}{\pi(8)^2}=h[/tex]Solving the operations:
[tex]0.522=h[/tex]Therefore, the height is 0.522.
