Suppose the soup company Bunker Bowls wants to create an extra durable soup can that would withstand the impact of a nuclear blast. In order to do so, they need to make the tops and bottoms of their cans extra thick so that the soups are not exposed to the nuclear fallout. Using the same radioactive-repellent material, they make the bottom of the soup can twice as thick as the side of the can and the top of the soup can three times the thickness of the sides of the can. If each can of soup is to contain a cup of soup, or 236 cubic centimeters of soup, what dimensions of the can would minimize the cost of the material needed to make up the can? What is the relationship between the radius and the height of the can? [NOTE: Work with the metric measurements
Suppose the soup company Bunker Bowls wants to create an extra durable soup can that would withstand the impact of a nuclear blast. In order to do so, they need to make the tops and bottoms of their cans extra thick so that the soups are not exposed to the nuclear fallout. Using the same radioactive-repellent material, they make the bottom of the soup can twice as thick as the side of the can and the top of the soup can three times the thickness of the sides of the can. If each can of soup is to contain a cup of soup, or 236 cubic centimeters of soup, what dimensions of the can would minimize the cost of the material needed to make up the can? What is the relationship between the radius and the height of the can? [NOTE: Work with the metric measurements
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids
Section: Chapter Questions
Problem 79A
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