Question: Find the volume of the solid generated by revolving about the x-axis the region bounded by the upper half of the ellipse x2/a2 + y2/b2

Find the volume of the solid generated by revolving about the x-axis the region bounded by the upper half of the ellipse x2/a2 + y2/b2 = 1 and the x-axis, and thus find the volume of a prolate spheroid. Here a and b are positive constants, with a > b.

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