Flux through a hole in a sphere?

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The discussion centers on calculating the electric flux through a drilled hole in a nonconducting hollow sphere surrounding a point charge. A 6:1 microcoulomb charge is positioned at the origin, and the sphere has a radius of 9.1 cm with a hole of radius 1.02 mm drilled along the z-axis. Participants are encouraged to share their calculations or approaches to solving the problem, as well as any hints or insights. The request emphasizes the importance of showing prior attempts at solving the problem. The goal is to determine the electric flux in units of N/m²·C.
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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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