3. A cylindrical chemical storage tank with a capacity of 1000 m³ is going to be constructed in a warehouse that is 12 m by 15 m, with a height of 11 m. The specifications call for the base to be made of sheet steel that costs $90 m², the top to be made of sheet steel that costs $50 m², and the wall to be made of sheet steel that costs $60 m². Determine the proportions that meet the conditions and that minimize the cost of the steel for construction.

3. A cylindrical chemical storage tank with a capacity of 1000 m³ is going to be constructed in a warehouse that is 12 m by 15 m, with a height of 11 m. The specifications call for the base to be made of sheet steel that costs $90 m², the top to be made of sheet steel that costs $50 m², and the wall to be made of sheet steel that costs $60 m². Determine the proportions that meet the conditions and that minimize the cost of the steel for construction.

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

Section9.4: Polyhedrons And Spheres

Problem 24E: A calendar is determined by using each of the 12 faces of a regular dodecahedron for one month of...

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