IS it possible to have total bound current NOT equal to 0?

[8987846]

I have a permanent magnetization $\vec{M}$=(ks)$\hat{z}$, k is just a const, s is the cylindrical coor. Then it turns out that the total bound current not equal to 0. i wonder is it possible? the magnetization is stored inside the shell of a cylinder of inner radius a and outer radius b.
thanks in advance!

 

[Jano L.]

What do you mean by total current? If the magnetization points in the direction of long axis of the cylinder, there is a surface current circling around the cylinder.