An ellipse centered at the origin is described by the equation x 2 /a 2 + y
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An ellipse centered at the origin is described by the equation x2/a2 + y2/b2 = 1. If an ellipse R is revolved about either axis, the resulting solid is an ellipsoid.
a. Find the volume of the ellipsoid generated when R is revolved about the x-axis (in terms of a and b).
b. Find the volume of the ellipsoid generated when R is revolved about the y-axis (in terms of a and b).
c. Should the results of parts (a) and (b) agree? Explain.
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Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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