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 cm? while the material for the base costs 5 pesos per cm?. If the container is to have a volume of 8Tt cm³, what must be its dimensions so that the cost of construction is as small as possible?

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 cm? while the material for the base costs 5 pesos per cm?. If the
container is to have a volume of 8Tt cm3, what must be its dimensions 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 cm? while the material for the base costs 5 pesos per cm?. If the container is to have a volume of 8Tt cm3, what must be its dimensions so that the cost of construction is as small as possible?
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