Question: A cylindrical container with no top is to be constructed to hold a fixed volume of liquid. The cost of the material used for the
A cylindrical container with no top is to be constructed to hold a fixed volume of liquid. The cost of the material used for the bottom is 3 cents per square inch, and that for the curved side is 2 cents per square inch. Use calculus to derive a simple relationship between the radius and height of the least expensive container.
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