Work done by electric force on a point charge in a cylinder?

1. The problem statement, all variables and given/known data

A point charge q is moved inside a hollow charged cylinder of radius R. The initial point A is a distance (3/4)R from the center and the final point B is at the center of the sphere. How much work is done by the electric force in this case?

2. The attempt at a solution

I am thinking that no work is done because its equipotential, but I am not certain its equipotential.

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