Chapter 14.3, Problem 41ES

(a) Use a double integral in polar coordinated to find the volume of the oblate spheroid

$\frac{x^2}{a^2}+\frac{y^2}{a^2}+\frac{z^2}{c^2}=1(0<c<a)$

(b) Use the result in part (a) and the World Geodetic System of 1984 (WGS-84) discussed in Exercise 54 of Section 11.7 to find the volume of the Earth in cubic meters.