Explanation Given information : The given curve y ( x ) = 1 9 - x 2 on the interval [ 0 , 2 ] revolved about y -axis. Formula used : The volume of the solid of revolution obtained by revolving abouty −axis, the area bounded by a curve x = f ( y ) , on the interval [a, b] along y axis, and y-axis is given by V = ∫ a b π x 2 d y . Calculations: The given curve is y ( x ) = 1 9 - x 2 ⇒ y 2 = 1 9 - x 2 ⇒ 9 - x 2 = 1 y 2 ⇒ x 2 = ( 9 - 1 y 2 ) … (1) Also, when x =0 ⇒ y =± 1 3 and when x =2 ⇒ y =± 1 5

Student's Solution and Survival Manual for Calculus

7th Edition

ISBN: 9781524934040

Author: STRAUSS MONTY J, TODA MAGDALENA DANIELE, SMITH KARL J

Publisher: Kendall Hunt Publishing

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Chapter 7, Problem 28PE

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Tofind:The volume of solid generated when the region under the curve on the given interval revolved about y -axis.

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Chapter 7, Problem 27PE

Chapter 7, Problem 29PE

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Chapter 7 Solutions

Student's Solution and Survival Manual for Calculus

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Tofind: The volume of solid generated when the region under the curve on the given interval revolved about y -axis.

Solution Summary: The author calculates the volume of solid generated when the region under the curve on the given interval revolved about y -axis.

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Tofind:The volume of solid generated when the region under the curve on the given interval revolved about y -axis.

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Chapter 7 Solutions