The region enclosed by the curve y = x ²- a ²and the x- axis is rotated by 90 deg about the x axis. Find an expression, in terms of a, for the volume of revolution formed.

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 3E
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The region enclosed by the curve y = x ²- a ²and the x- axis is rotated by 90 deg about the x axis. Find an expression, in terms of a, for the volume of revolution formed.
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