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 +
πr3, and the surface area (including the floor) is π(3r2 + 2rh). (Round your answers to one decimal place.)
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πr3,
and the surface area (including the floor) is π(3r2 + 2rh). (Round your answers to one decimal place.)
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