Solve the following maxima and minima problems: A circular cylindrical container, open at the top and having a capacity of 24 cu. In., is to be manufactured. If the cost of the material for the bottom of the container is three times that of the cost of material for the curved part and if there is no waste of material, find the dimensions which will minimize the cost.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids
Section: Chapter Questions
Problem 79A
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Solve the following maxima and minima problems:

A circular cylindrical container, open at the top and having a capacity
of 24 cu. In., is to be manufactured. If the cost of the material for the
bottom of the container is three times that of the cost of material for the
curved part and if there is no waste of material, find the dimensions
which will minimize the cost.

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9781337798310
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Cengage Learning,