Explanation Obtain the radius and height of the solid graphically and use it to calculate the volume by the Shell Method. Given: f ( x ) = x − 4 , [ − 3 , − 1 ] about x = 4 Calculation: The graph of the solid is shown below: Each shell has radius 4 − x and height x − 4 . The volume of the solid thus obtained is given by 2 π ∫ − 3 − 1 ( 4 − x ) ...

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Question

Chapter 6.4, Problem 17E

To determine

The volume of the solid obtained by rotating the region underneath the graph of $f$ over the interval about the given axis after sketching it, by using the Shell Method.

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Chapter 6.4, Problem 16E

Chapter 6.4, Problem 18E

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Chapter 6 Solutions

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The volume of the solid obtained by rotating the region underneath the graph of f over the interval about the given axis after sketching it, by using the Shell Method.

Solution Summary: The author explains how to determine the volume of the solid obtained by rotating the region underneath the graph of f over the interval about the given axis.

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The volume of the solid obtained by rotating the region underneath the graph of $f$ over the interval about the given axis after sketching it, by using the Shell Method.

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Chapter 6 Solutions