Consider the moment of inertia Iz of an object of constant density 2 in the shape of the ellipsoid:

(x^2) + 4(y^2) + (z^2) = 1

i. write a repeated integral for this moment in rectangular coordinates with innermost dx then dy then dz

ii.same except in cylindrical coordinates with order from inner to outside: dr,d theta,dz

iii. in spherical coordinates with innermost

d(row), d theta, d phi(spelling?)