Multiple Choice
A grain silo has the shape of a right circular cylinder surmounted by a hemisphere (see the figure) . If the silo is to have a capacity of , find the radius and height of the silo that requires the least amount of material to construct. Hint: The volume of the silo is
, and the surface area (including the floor) is
.
A)
B)
C)
D)
Correct Answer:
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