3. You are tasked with designing a cylindrical can. The material for the top and bottom of the can costs 0.25/cm². The material for the sides of the can costs 0.40/cm². If you want the can to have a volume of 90cm³, what dimensions should you use to minimize the cost of constructing the can?

3. You are tasked with designing a cylindrical can. The material for the top and bottom of the can costs 0.25/cm². The material for the sides of the can costs 0.40/cm². If you want the can to have a volume of 90cm³, what dimensions should you use to minimize the cost of constructing the can?

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 27E: The box with dimensions indicated is to be constructed of materials that cost 1 cent per square inch...

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3. You are tasked with designing a cylindrical can. The material for the top and bottom of the
can costs 0.25/cm². The material for the sides of the can costs 0.40/cm². If you want the
can to have a volume of 90cm³, what dimensions should you use to minimize the cost of
constructing the can?

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