Explanation Given: The given equation is y = x 2 + 2 rotate about the y-axis. The figure is shown below: Formula Used: If a washer of inner radius R = f ( y ) a n d o u t e r r a d i u s r = g ( y ) rotated about the y-axis over the given interval a ≤ y ≤ b then the volume of solid revolution is calculated by V = π ∫ a b ( ( R ) 2 − ( r ) 2 ) Calculation: Here, rotating region A about the y − a x i s over the interval 2 ≤ y ≤ 6 produce a solid whose cross sections are washers with radius R = ...

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Chapter 6.3, Problem 30E

To determine

The volume of the solid obtained by rotating region in the given figure about the given axis.

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Chapter 6.3, Problem 29E

Chapter 6.3, Problem 31E

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The volume of the solid obtained by rotating region in the given figure about the given axis.

Solution Summary: The author concludes that the volume of the solid obtained by rotating region in the given figure about y = 2 is 8

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The volume of the solid obtained by rotating region in the given figure about the given axis.

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Chapter 6 Solutions