(a) Evaluate E dV, where E is the solid enclosed by the ellipsoid x 2 /a...
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(a) Evaluate ∫∫∫E dV, where E is the solid enclosed by the ellipsoid x2/a2 + y2/b2 + z2/c2 = 1. Use the transformation x = au, y = bv, z = cw.
(b) The earth is not a perfect sphere; rotation has resulted in flattening at the poles. So the shape can be approximated by an ellipsoid with a = b = 6378 km and c − 6356 km. Use part (a) to estimate the volume of the earth.
(c) If the solid of part (a) has constant density k, find its moment of inertia about the z-axis.
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Related Book For
Calculus Early Transcendentals
ISBN: 9781337613927
9th Edition
Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin
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