A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. An industrial tank of this shape must have a volume of 3200 cubic feet. The hemispherical ends cost twice as much per square foot of surface area as the sides. Find the dimensions that will minimize the cost. (Round your answers to three decimal places.) radius ft height

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 solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. An Industrial tank of this shape must have a volume of 3200 cubic feet. The hemispherical ends cost twice as much per square
foot of surface area as the sides. Find the dimensions that will minimize the cost. (Round your answers to three decimal places.)
radius
ft
height
ft
Transcribed Image Text:A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. An Industrial tank of this shape must have a volume of 3200 cubic feet. The hemispherical ends cost twice as much per square foot of surface area as the sides. Find the dimensions that will minimize the cost. (Round your answers to three decimal places.) radius ft height ft
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