(a) The ellipse x 2 a2 1 y 2 b2 1 a . b is rotated about the x-axis to form a surface
Chapter 8, Problem 31(choose chapter or problem)
(a) The ellipse x 2 a2 1 y 2 b2 1 a . b is rotated about the x-axis to form a surface called an ellipsoid, or prolate spheroid. Find the surface area of this ellipsoid. (b) If the ellipse in part (a) is rotated about its minor axis (the y-axis), the resulting ellipsoid is called an oblate spheroid. Find the surface area of this ellipsoid.
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