(a) The ellipse x2/a2 + y2 /b2 = 1 a > b is rotated about the -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 -axis), the resulting ellipsoid is called an oblate spheroid. Find the surface area of this ellipsoid.