Show that the volume of the solid bounded by the elliptic paraboloid x2/a2 + y2/b2 = h

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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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Calculus

ISBN: 978-0131429246

9th edition

Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon

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