. (a) Evaluate , where is the solid enclosed by the ellipsoid . Use the transformation
Chapter 12, Problem 12.8.17(choose chapter or problem)
. (a) Evaluate , where is the solid enclosed by the ellipsoid . Use the transformation , , . (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 km and km. Use part (a) to estimate the volume of the Earth.
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