Answered: 2(a) You are given a task to make… | bartleby

Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 17EQ

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Question

2(a) You are given a task to make cylindrical containers to hold 1 liter using the
least amount of construction material.
The requirements are as below:
• The side is made from a rectangular piece of material with no material
wasted.
•
Top and bottom are cut from squares of side 2r, thus 2(2r)² = 8r² of
material is needed.
(i)
(ii)
Determine the dimensions of the container using the least amount of
material.
Determine the ratio of height to radius for this container.

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