7. 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 in this problem].
7. 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 in this problem].
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 27EQ
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