Explanation Given: Enclosed figure by the graph y = cos ( x 2 ) , y = 0 , 0 ≤ x ≤ π / 2 , y − axis Calculation: The volume of rotation of enclosed region by given graph about y -axis. First we draw the figure of the solid. The volume of solid form by rotation of enclosed region by graphs y = cos ( x 2 ) , y = 0 , 0 ≤ x ≤ π / 2 , y − axis Using Shell method the volume of solid, V = ∫ a b 2 π r h d x about y − axis Where, a = 0 , b = π 2 , r = x , h = cos ( x 2 ) dx is thickness of the shell

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Chapter 6, Problem 39CRE

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To find the volume of revolution of the enclosed region by functions about y -axis.

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Chapter 6, Problem 38CRE

Chapter 6, Problem 40CRE

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Chapter 6 Solutions

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To find the volume of revolution of the enclosed region by functions about y -axis.

Solution Summary: The author explains how to find the volume of revolution of the enclosed region by functions about y -axis.

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To find the volume of revolution of the enclosed region by functions about y -axis.

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Chapter 6 Solutions