A drink can, in the form of a cylinder, needs to have a volume of 750 cm³. The material for the top costs $1.2/cm² and the material for the sides and the bottom costs $0.5/cm². Find the dimensions that will minimize the cost of producing 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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A drink can, in the form of a cylinder, needs to have a volume of 750 cm³. The material for the
top costs $1.2/cm² and the material for the sides and the bottom costs $0.5/cm². Find the
dimensions that will minimize the cost of producing the can.
Transcribed Image Text:A drink can, in the form of a cylinder, needs to have a volume of 750 cm³. The material for the top costs $1.2/cm² and the material for the sides and the bottom costs $0.5/cm². Find the dimensions that will minimize the cost of producing the can.
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