2. Tin can problem A popular size of tin can with "normal" proportions has a diameter of 7.3 cm and a height of 10.6 cm. a. What is its volume b. The volume is to be kept the same, but the proportions are to be changed. Write an equation expressing the surface area as a function of the radius and height. Transform the equation so that the surface area is in term of radius only. c. Find the radius and height of the can so that it has a minimum surface area. What is the ratio of diameter to height? d. What percent of the metal in the "normal" can could be saved by using ans with the "minimum" dimension? e. If the US uses 20 million of these cans a day and the metal in "normal" can is worth $0.06, how much money could be saved per year by using "minimum area" cans? f. Suggest possible reasons for NOT using "minimum area" cans.