Explanation Given information : The curve y ( x ) = 2 3 x - 2 revolved about x -axis. The given lines are x = 1 , and x =2 . Formula used : The volume of the solid of revolution obtained by revolving aboutx −axis, the area bounded by a curve y = f ( x ) , on the interval [a, b] onx axis, and x -axis is given by V = ∫ a b π y 2 d x . Calculations: The given curve is y ( x ) = 2 3 x - 2 ⇒ y 2 = 4 3 x - 2 Therefore, the volume of the solid of revolution obtained by revolving about x −axis, the area bounded by a given curve, and theinterval formed by the lines x = 1 , x =2 i.e

6th Edition

ISBN: 9781465208880

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

Publisher: Kendall Hunt Publishing

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Chapter 7, Problem 74SP

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Tofind:The volume of solid formed by revolving about x -axis the region bounded by the given curve, the x-axis, and the given lines.

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Chapter 7, Problem 73SP

Chapter 7, Problem 75SP

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The region bounded by the curve y=x²-2 and the lines y=-2 and x=2 is rotated about the line y=-2. Calculate the volume of the solid formed.

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Chapter 7 Solutions

Calculus

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Tofind: The volume of solid formed by revolving about x -axis the region bounded by the given curve, the x-axis, and the given lines.

Solution Summary: The author calculates the volume of the solid of revolution obtained by revolving about x axis, the area bounded by the given curve, and the interval

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Tofind:The volume of solid formed by revolving about x -axis the region bounded by the given curve, the x-axis, and the given lines.

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Chapter 7 Solutions