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A standard cylindrical aluminum can has a volume of 355 cubic centimeters. Find an expression for 'h' in terms of 'r' based on this known volume. The use this expression in the equation for the surface area of a cylinder so you can find the value of 'r' that would minimize the surface area of the can and thus reduce overhead costs. Show all work/explanation

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Answer:

Applications - Aluminum Can A cylindrical can is to be constructed out of aluminum in such a way that the volume is 355 cubic centimeters (about 12 ounces) and the top and bottom are somewhat thicker than the side. As a result, the top and bottom cost $0.002 per square centimeter, where as the material for the side costs only $0.001 per square centimeter.

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