A steel drum in the shape of a right circular cylinder is

Chapter 4, Problem 56

(choose chapter or problem)

A steel drum in the shape of a right circular cylinder is required to have a volume of 100 cubic feet. (a) Express the amount A of material required to make the drum as a function of the radius r of the cylinder. (b) How much material is required if the drums radius is 3 feet? (c) How much material is required if the drums radius is 4 feet? (d) How much material is required if the drums radius is 5 feet? (e ) Graph A = A1r2. For what value of r is A smallest?

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