2. Material Needed to Make a Drum A steel drum in the shapeof a right circular cylinder is required to have a volume of100 cubic feet.(a) Express the amount A of material required to make thedrum as a function of the radius r of the cylinder.(b) How much material is required if the drum’s radiusis 3 feet?(c) How much material is required if the drum’s radiusis 4 feet?(d) How much material is required if the drum’s radiusis 5 feet?(e) Graph A = A(r). For what value of r is A smallest?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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2. 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’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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