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
Given that the volume is 27,355.68 mm^3, and the radius is 22 mm, we can plug in these values and solve for h:
27,355.68 = 3.14(22)^2h
27,355.68 = 3.14(484)h
27,355.68 = 1,519.76h
h = 27,355.68 / 1,519.76
h ≈ 18
Therefore, the height of the cylinder is approximately 18 mm.