A cylinder-shaped can needs to be constructed to hold 200 cubic centimeters of soup. The material for the sides of the can cost 0.04 cents per square centimeter. The material for the top and bottom of the can need to be thicker and cost 0.06 cents per square centimeter. Find the dimensions for the can that will minimize production costs. To minimize the cost of the can: The radius of the can: Height of the can: Minimum cost
A cylinder-shaped can needs to be constructed to hold 200 cubic centimeters of soup. The material for the sides of the can cost 0.04 cents per square centimeter. The material for the top and bottom of the can need to be thicker and cost 0.06 cents per square centimeter. Find the dimensions for the can that will minimize production costs. To minimize the cost of the can: The radius of the can: Height of the can: Minimum cost
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 cylinder-shaped can needs to be constructed to hold 200 cubic centimeters of soup. The material for the sides of the can cost 0.04 cents per square centimeter. The material for the top and bottom of the can need to be thicker and cost 0.06 cents per square centimeter. Find the dimensions for the can that will minimize production costs.
To minimize the cost of the can:
The radius of the can:
Height of the can:
Minimum cost:
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