Explanation Given: The functions, y 2 = 4 x , y = x , about y = 8 Formula: V = ∫ a b 2 π r h d x Calculation: The volume of rotation of enclosed region by given function about y -axis. First we draw the figure of the solid. The volume of solid form by rotation of enclosed region by functions y 2 = 4 x and y = x about y =8 Point of intersection of both curve. x 2 = 4 x x 2 − 4 x = 0 x = 0 , 4 Point of intersection: ( 0 , 0 ) , ( 4 , 4 ) Using washer method the volume of solid, V = ∫ a b π ( R 2 − r 2 ) d x about y = 8 Where, a = 0 , b = 4 , r = 8 − 4 x , R = 8 − x dx is thickness of the washer/Disk shell

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ISBN: 9781319050733

Author: Rogawski

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Chapter 6.3, Problem 52E

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To find the volume of revolution of the enclosed region by functions about y =8.

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Chapter 6.3, Problem 51E

Chapter 6.3, Problem 53E

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To find the volume of revolution of the enclosed region by functions about y =8.

Solution Summary: The author explains how to find the volume of revolution of the enclosed region by functions about y =8.

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To find the volume of revolution of the enclosed region by functions about y =8.

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Chapter 6 Solutions