The solid generated by rotating the region inside the ellipse with equation (x/a) 2 + (y/b) 2

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The solid generated by rotating the region inside the ellipse with equation (x/a)²+ (y/b)²= 1 around the x-axis is called an ellipsoid. Show that the ellipsoid has volume 4/3πab². What is the volume if the ellipse is rotated around the y-axis?

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Nov 26, 2023 02:56 AM

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The solid generated by rotating the region inside the ellipse with equation (x/a) 2 + (y/b) 2

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Rotating the ellipse about the xaxis produces an ellipsoid whose cross sections ...View the full answer

Calculus

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