A Large Grain Silo Is to Be Constructed in the Shape

Multiple Choice

A large grain silo is to be constructed in the shape of a circular cylinder with a hemisphere attached to the top (see the figure) . The diameter of the silo is to be 36 feet, but the height is yet to be determined. Find the height h of the silo that will result in a capacity of 15,876 π ft ³ .

A) $h = 55$ feet
B) $h = 60$ feet
C) $h = 110$ feet
D) $h = 43$ feet
E) $h = 57$ feet