Your firm has been asked to design a storage tank for liquid petroleum gas. The customer’s specifications call for a cylindrical tank with hemispherical ends, and the tank is to hold 8000 m3 of gas. The customer also wants to use the smallest amount of material possible in building the tank. What radius and height do you recommend for the cylindrical portion of the tank?

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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Your firm has been asked to design a
storage tank for liquid petroleum gas. The customer’s specifications
call for a cylindrical tank with hemispherical ends, and the tank is
to hold 8000 m3 of gas. The customer also wants to use the smallest
amount of material possible in building the tank. What radius and
height do you recommend for the cylindrical portion of the tank?

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