The volume of a cylinder is 3817 cubic inches, and the radius is 9 inches. To the nearest inch, what is the height of this cylinder?
h =
in.
The formula to calculate the volume of a cylinder is V = πr^2h, where V is the volume, r is the radius, and h is the height.
Given, V = 3817 cubic inches and r = 9 inches.
Substitute the values into the formula:
3817 = π(9)^2h
3817 = π(81)h
3817 = 81πh
Now, solve for h:
h = 3817 / 81π
h ≈ 15 inches
Therefore, the height of the cylinder is approximately 15 inches.