Solved: Material Needed to Make a Drum A steel drum in the

Chapter , Problem 75

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Material Needed to Make a Drum 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 drum is of radius 3 feet? (c) How much material is required if the drum is of radius 4 feet? (d) How much material is required if the drum is of radius 5 feet? ? (e) Graph A = A(r). For what value of r is A smallest? Hint: The volume V and surface area S of a right circular cylinder are S = 2m.2 + 2'7Trh where h is the height and r is the radius