Solution: (1) According to the methods of "breaking the whole into parts, breaking the whole into parts" and "turning the curve into a straight line, replacing the curve with a straight line", combined with the method of finding the area of the circle, we can know that the area of the ellipse is π? Answer? Answer? =πab；

(2) Because the volume of a sphere with radius a is πa3, the volume of an ellipsoid is π a3 πa3( )2= πab2. ..