Well I tried the second part by using (a*r^3)/(3*R*ε0), where r = 0.0437 and R = 0.119 to get E. Then I multiplied by ε0 again to get the (surface charge density) but I got 0.011056 which was wrong. So I guess I'm more lost than I thought.
A long non-conducting cylinder has a charge density p = a*r, where a = 4.73 C/m^4 and r is in meters, and a radius of 0.0437m . Concentric around it is a hollow metallic cylindrical shell with an inner radius of 0.119m and an outer radius of 0.158m.
1) What is the electric field at 0.172m...