Show that the volume of the solid bounded by the elliptic paraboloid x2 a2 y2 b2 h z, h 0, and the xy plane is abh2 2, that is, the volume is one half the area of the base times the height

Question: Show that the volume of the solid bounded by the elliptic paraboloid x2/a2 + y2/b2 = h - z, h > 0, and the xy-plane

Show that the volume of the solid bounded by the elliptic paraboloid x2/a2 + y2/b2 = h - z, h > 0, and the xy-plane is πabh2/2, that is, the volume is one-half the area of the base times the height.

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