Explanation Obtain the radius and height of the solid graphically and use it to calculate the volume by Shell Method. Given: f ( x ) = x 3 , [ 0 , 1 ] about x = 2 Calculation: The graph of the solid is shown below: Each shell has radius 2 − x and height x 3 . The volume of the solid thus obtained is given by 2 π ∫ 0 1

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Chapter 6.4, Problem 15E

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 14E

Chapter 6.4, Problem 16E

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Chapter 6 Solutions

Calculus - Standalone book

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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 after sketching it, using the Shell Method.

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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

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 after sketching it, using the Shell Method.

Concept explainers

Videos

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.

Want to see the full answer?

Chapter 6 Solutions

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.