1) A cylindrical tin with a capacity of 750 cm3 is to be constructed out of sheet metal. The construction material for the side and base costs $ 0.0 5 / cm2 and for the top costs $ 0.10 / cm2 . The tin must t 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