A steel drum in the shape of a right circular cylinder is required to have a volume

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A steel drum in the shape of a right circular cylinder is required to have a volume of 100 cubic feet.

A steel drum in the shape of a right circular


(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€™s radius is 3 feet?

(c) How much material is required if the drum€™s radius is 4 feet?

(d) How much material is required if the drum€™s radius is 5 feet?

(e) Graph A = A(r). For what value of r is A smallest?

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Precalculus

ISBN: 978-0321716835

9th edition

Authors: Michael Sullivan

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