We want to build a cylindrical tank with a volume of 216 m^3. The tank has no lid and the material used for the bottom costs twice as much as that used for the side wall. Determine the radius and height that minimizes construction costs.Info: U=pir^2 hArea without cover = pir^2 + 2pirhC = Cost

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...
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We want to build a cylindrical tank with a volume of 216 m^3. The tank has no lid and the material used for the bottom costs twice as much as that used for the side wall. Determine the radius and height that minimizes construction costs.
Info: U=pir^2 h
Area without cover = pir^2 + 2pirh
C = Cost

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