The volume of a right circular cylinder is 27,355.68 mm3 . Find the height of the cylinder if the radius is 22 mm. Use 3.14 for π .(1 point) mm
The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height.
Given that V = 27,355.68 mm^3, r = 22 mm, and π = 3.14, we can substitute these values into the formula:
27,355.68 = 3.14 * 22^2 * h
27,355.68 = 3.14 * 484 * h
27,355.68 = 1519.76 * h
h = 27,355.68 / 1519.76
h ≈ 17.99
Therefore, the height of the cylinder is approximately 17.99 mm.