Gauss' Law Problem

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Homework Statement


A very long, solid insulating cylinder with radius R has a cylindrical hole with radius
a bored along its entire length. The axis of the hole is a distance b from the axis of the
cylinder, where a < b < R. The solid material has a uniform volume charge density, ρ. Find
the magnitude and direction of the electric field inside the hole.


Homework Equations


Gauss' Law


The Attempt at a Solution


I don't understand why the electric field inside the hole is 0. I mean there is no charge so therefore there is no net electric field. However this isn't what my book gives as an answer..
 

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