Find the electric field magnitude in each region.

[Joa Boaz]

So far, this is what I have. Now I tried to make as a nice as I could but for some reason every time I attempted to save on a PDF file, I find some missing fonts. This one seems to be okay. But question is what am I to do with the rho outside of the cavity.

 

[Dr Transport]

Inside the cavity the electric field is 0, no charge enclosed. between the cavity and the outer shell, integrate the charge density to the radius you are calculatina, i.e. some $r$. Outside the sphere, just integrate the entire shell minus the cavity to calculate the entire charge enclosed.