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a. A cylindrical container that is open at the top is to be made from two kinds of material. The material for the side costs 20 pesos per cm² while the material for the base costs 5 pesos per cm². If the container is to have a volume of 167 cm³, what must be its dimension so that the cost of construction is as small as possible.

a. A cylindrical container that is open at the top is to be made from two kinds of material. The material for the side costs 20 pesos per cm² while the material for the base costs 5 pesos per cm². If the container is to have a volume of 167 cm³, what must be its dimension so that the cost of construction is as small as possible.

Elementary Geometry For College Students, 7e
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 cylindrical container that is open at the top is to be made from two kinds of material. The material for the side costs 20 pesos per cm² while the material for the base costs 5 pesos per cm². If the container is to have a volume of 167 cm³, what must be its dimension so that the cost of construction is as small as possible.
Transcribed Image Text:A cylindrical container that is open at the top is to be made from two kinds of material. The material for the side costs 20 pesos per cm² while the material for the base costs 5 pesos per cm². If the container is to have a volume of 167 cm³, what must be its dimension so that the cost of construction is as small as possible.
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