Question: 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

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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