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## Homework Statement

Bildschirmfoto 2018-06-19 um 18.50.50.png

In the y-z plane there is an infinite long surface with charge density ##\sigma## that slices through a sphere with radius R. Determine the Flux.

## The Attempt at a Solution

I have solved the problem but am stuck at the last part. I used Gauss and found that the flux is equal to ##\frac{Q_{in}}{\epsilon_0}## (per the theorem of course). But at the end I have to formulate it with sigma and the area. Something like:

##\frac{Q_{in}}{\epsilon_0} =\frac{\sigma A_{in}}{\epsilon_0}=...##

But my question is, what exactly

*is*##A_{in}##? It is the area within the sphere? That would just be ##\frac{4}{3}\pi r^3## but that doesn't make much sense.

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