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A new junk food — PopKorn — is to be sold in large cylindrical metal cans...

A new junk food — PopKorn — is to be sold in large cylindrical metal cans with a removable plastic lid instead of a metal top. The metal side and bottom will be of uniform thickness, and the volume is fixed to be 64π in^3 . What base radius r and height h for the can will require the least amount of metal? Show work, and include an argument to show your values for r and h really give a minimum.

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