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Designing a grain silo a grain silo has the shape of a

Question: DESIGNING A GRAIN SILO A grain silo has the shape of a right circular cylinder surmounted by a hemisphere (see the accompanying figure). If the silo is to have a capacity of 504p ft3 , find the radius and height of the silo that requires the least amount of material to construct. Hint: The volume of the silo is Πr²h + (2/3)Πr³, and the surface area (including the floor) is Π(3r² + 2rh).

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Mathematics: Designing a grain silo a grain silo has the shape of a

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