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
icon
Related questions
Topic Video
Question

can you please help

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].
Transcribed Image Text: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].
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 5 images

Blurred answer
Knowledge Booster
Research Design Formulation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning