4. An open-top cylindrical can is to hold a volume of 167 Cubic centimeter of liquid. The cost of the material for the bottom is $2 per square centimeter and the cost of the material for the curved surface is $1 per square centimeter. Find the radius and the height of the least expensive can. h

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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4. An open-top cylindrical can is to hold a volume of 167 Cubic centimeter of liquid. The cost of the
material for the bottom is $2 per square centimeter and the cost of the material for the curved surface
is $1 per square centimeter. Find the radius and the height of the least expensive can.
Transcribed Image Text:4. An open-top cylindrical can is to hold a volume of 167 Cubic centimeter of liquid. The cost of the material for the bottom is $2 per square centimeter and the cost of the material for the curved surface is $1 per square centimeter. Find the radius and the height of the least expensive can.
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