Find the mass of the region (in cylindrical coordinates)r^3<=z<=1 , where the density function is r(r;q; z) = 9z.
This is what I got so far
0 <= r<= 1; 0 <= q <= 2p:
hence need to compute the integral
Z from 0 to 2pi Z from 0 to 1 Z r^3 to 1 9zdzrdrdq:
We thus obtain
9p Z 0 to...