You are building a cylindrical barrel in which to put Dr. Brent so you can float him over Niagara Falls. I can fit in a barrel with volume equal to 2 cubic meters. The material for the lateral surface costs $25 per square meter. The material for the circular ends costs $11 per square meter. What is the exact radius and height of the barrel so that cost is minimized?

You are building a cylindrical barrel in which to put Dr. Brent so you can float him over Niagara Falls. I can fit in a barrel with volume equal to 2 cubic meters. The material for the lateral surface costs $25 per square meter. The material for the circular ends costs $11 per square meter. What is the exact radius and height of the barrel so that cost is minimized?

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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