A solid steel cylinder is to be produced so that the sum of its height h and diameter 2r is to be at most 3 units. Find the dimensions that will maximize its volume

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Equations, Inequalities, And Mathematical Modeling
Section1.3: Modeling With Linear Equations
Problem 9ECP: A cylindrical container has a volume of 84 cubic inches and a radius of 3 inches. Find the height of...
Question
A solid steel cylinder is to be produced so
that the sum of its height h and diameter 2r is
to be at most 3 units. Find the dimensions
that will maximize its volume.
Transcribed Image Text:A solid steel cylinder is to be produced so that the sum of its height h and diameter 2r is to be at most 3 units. Find the dimensions that will maximize its volume.
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