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1) A cylindrical tin with a capacity of 750 cm is to be constructed out of sheet metal. The construction material for the side and base costs $ 0.05/cm and for the top costs $ 0.10/cm2 . The tin must fit into premade boxes with a base of 14 cm by 14 cm and a height of 5 cm. Determine the dimensions of the tin, to two decimal places, that will minimize the cost of the metal needed