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A company wants to manufacture cylindrical aluminum cans with a volume of 1000 cm3. What should be the radius and height of the can be to minimize the amount of aluminum used?

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

Section9.1: Prisms, Area And Volume

Problem 34E: The numerical value of the volume of a cube equals the numerical value of its total surface area....

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A company wants to manufacture cylindrical aluminum cans with a volume of 1000 cm3.
What should be the radius and height of the can be to minimize the amount of aluminum
used?

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