A steel storage tank for propane gas is to be constructed in the shape of a right circular cylinder with a hemisphere at both ends. If the desired capacity is 100 cu. ft., what dimensions will require the least amount of steel ?

A steel storage tank for propane gas is to be constructed in the shape of a right circular cylinder with a hemisphere at both ends. If the desired capacity is 100 cu. ft., what dimensions will require the least amount of steel ?

Elementary Geometry for College Students

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter9: Surfaces And Solids

Section9.1: Prisms, Area And Volume

Problem 42E: The gasoline tank on an automobile is box-shaped with dimensions of 24 in. by 20 in. by 9 in. If 1...

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Question

A steel storage tank for propane gas is to be constructed in the shape
of a right circular cylinder with a hemisphere at both ends. If the
desired capacity is 100 cu. ft., what dimensions will require the least
amount of steel ?

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