Problem 2. (a) Evaluate ∭ E
​
dV where E is the solid enclosed by the ellipsoid a 2
x 2
​
+ b 2
y 2
​
+ c 2
z 2
​
=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 is approximated by the ellipsoid with a=b≈6378 km,c=6356 km. Estimate the volume of the Earth.