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A company is planning to manufacture cylindrical above-ground swimming pools. When filled to the top, a...

A company is planning to manufacture cylindrical above-ground swimming pools. When filled to the top, a pool must hold 100 cubic feet of water. The material used for the side of a pool costs $3 per square foot and the mate-rial used for the bottom of a pool costs $2 per square foot.(There is no top.) What is the radius of the pool which minimizes the manufacturing cost? (Hint: The volume of a cylinder of height hand radius r isV=πr2h, the area of its base isπr2, and the area of the curved side is 2πrh.)

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