A large grain silo is to be constructed in the shape of a circular cylinder with a hemisphere attached to the top. The diameter of the silo is to be 30 feet, but the height is yet to be determined. Find the height h of the silo that will result in a capacity of 14,625(pi) ft^3.Solve in terms of ft.
14,625 = 2/3 (pi) 15^3 + h* (pi) 15^2
Assuming that the hemisphere part is used for air and not storage, 14625 pi = h * 15^2 pi = 225h * pi, so h = 14625/225 = 65 ft.
