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A cylindrical container with no top is to be constructed for a fixed amount of money. The cost of the material for the bottom is

A cylindrical container with no top is to be constructed for a fixed amount of money. The cost of the material for the bottom is 3 cents per square inch, and the cost of the material for the curved side is 4 cents per square inch. Use calculus to derive a simple relationship between the radius and the height of the container having the greatest volume.

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