The accompanying figure gives formulas for the volume V
Chapter 4, Problem 38(choose chapter or problem)
The accompanying figure gives formulas for the volume V and total surface area S of a circular cylinder with radius r and height h. For a cylinder of given volume we are interested in finding the dimensions that minimize the surface area. (a) Assume that the volume of the cylinder is 1000 cm3 . Express the surface area as a function of the radius. After combining terms in your answer, show that the resulting function can be written (b) Use a graphing utility to graph the surface area function obtained in part (a). (c) Estimate, to the nearest one-hundredth, the radius r that minimizes the surface area. What is the corresponding value for h?
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