A cylindrical container needs to be constructed such that the volume is a maximum. If you are given 20 square inches of aluminum to construct the cylinder, what are the radius and height that would maximize the volume?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 7E: The tin can shown at the right has the indicated dimensions. Estimate the number of square inches of...
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 I am very much struggling with this and I need to know how it is done step by step can you help me? Also, the answer needs to be in decimal form, thank you so much


A cylindrical container needs to be constructed such that the volume is a maximum. If you are given 20 square inches of aluminum to construct the cylinder, what are the radius and height that would maximize the volume?

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