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A grain silo has the shape of a right circular cylinder surmounted by a hemisphere. If...

A grain silo has the shape of a right circular cylinder surmounted by a hemisphere. If the silo is to have a volume of 516π ft3, determine the radius and height of the silo that requires the least amount of material to build. Hint: The volume of the silo is

πr2h +

A grain silo has the shape of a right circular cylinder surmounted by a hemisphere. If the silo is to have a volume of 516π ft3, determine the radius and height of the silo that requires the least amount of material to build. Hint: The volume of the silo is

πr2h +

2
3

πr3,

and the surface area (including the floor) is π(3r2 + 2rh). (Round your answers to one decimal place.)
r = ft
h = ft

πr3,

and the surface area (including the floor) is π(3r2 + 2rh). (Round your answers to one decimal place.)

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