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)
To find the height of the cylinder, we can use the formula for the volume of a cylinder:
V = πr^2h,
where V is the volume, r is the radius, and h is the height.
Given that the volume is 27,355.68 mm3 and the radius is 22 mm, 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 = 1519.36 * h
h = 27,355.68 / 1519.36
h = 18 mm
Therefore, the height of the cylinder is 18 mm.