Solved: A can in the shape of a right circular cylinder is

Chapter 4, Problem 54

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A can in the shape of a right circular cylinder is required to have a volume of 500 cubic centimeters. The top and bottom are made of material that costs 0.06. per square centimeter, while the sides are made of material that costs 0.04. per square centimeter. (a) Express the total cost C of the material as a function of the radius r of the cylinder. (Refer to Figure 49.) (b) Graph C = C1r2. For what value of r is the cost C a minimum?

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