Explanation Given: Curve y = e − x on the interval [ 0 , 2 ] which is revolved about y-axis. Curve is shown below: - Now, The volume of the solid obtained by rotating the curve about y − axis between y = 0 to y =1, V = π ∫ a b [ y ] 2 d x So, Volume for the given curve = π ∫ 0 1 [ x 2 ] 2

7th Edition

ISBN: 9781524916817

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

Publisher: Kendall Hunt Publishing

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Chapter 7.3, Problem 53PS

To determine

Volume of the solid generated when the region under the curve y=x2 on the interval [0,1] which is revolved about y-axis.

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Chapter 7.3, Problem 52PS

Chapter 7.3, Problem 54PS

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Chapter 7 Solutions

Calculus

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Volume of the solid generated when the region under the curve y = x 2 on the interval [ 0 , 1 ] which is revolved about y-axis.

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Volume of the solid generated when the region under the curve y=x2 on the interval [0,1] which is revolved about y-axis.

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Chapter 7 Solutions