The costsquare foot of the material for the side of the


MINIMIZING CONSTRUCTION COSTS A man wishes to construct a cylindrical barrel with a capacity of 32π ft3 . The cost/square foot of the material for the side of the barrel is half that of the cost/square foot for the top and bottom. Help him find the dimensions of the barrel that can be constructed at a minimum cost in terms of material used.

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Mathematics: The costsquare foot of the material for the side of the
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