Calculus: A jumbo-size can of baked beans has a volume of 600cm^3. What dimensions will allow for the minimum amount of metal to produce the can?

Question

anonymous · Answer

assume the can is cylindrical... you'll want to minimize the surface area of the cylinder
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take the derivative of SA.. set to 0, see if the critical # produces a min...
your answer will be in terms of r so to get h plug back into the volume formula and you'll have your dimensions.