Flux through a hole in a sphere?

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Flux through a hole in a sphere?

I have worked on this for a while and need some help. Answers or hints are appericated


A 6:1 uC charge located at the origin of a cartesian coordinate system is surrounded by a nonconducting hollow sphere of radius 9:1 cm. A drill with a radius of 1:02 mm is aligned along the z axis, and a hole is drilled
in the sphere. Calculate the electric flux through the hole.
Answer in units of N/m(sqd)=C.
 
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