# Quick question regarding gauss' law

A long coaxial cable consists of an inner cylindrical conductor with radius $$a$$ and an outer cylindrical shell of inner radius $$b$$ and outer radius $$c$$. The cylindrical shell is mounted on insulating supports and has no net charge. The inner cylinder has a uniform positive charge per unit length $$\lambda$$.

Calculate $$E$$
a) at any point between the cylinders
b) at any point outside the cylindrical shell
c) Find the charge per unit length on the inner surface and outer surface of the shell.

a) wasn't a problem, found $$E = \frac{\lambda}{2\pi rh}$$
b) and c) i'm having problems with

would $$E$$ outside the shell be 0 since the insulating shell carries no charge?