Not sure if this is the right subforum. Advanced geometry comes to mind but it's in a basic calculus course.

The problem is:

Two, straight, circular cylinders with radius R have the x-axis, and y-axis for their symmetry axes. What is the volume of the area that is within both cylinders?

I'm completely lost and don't even know where to start. I think I want to find an expression for a "plate" and integrate on x but I can't really 'see' it. Any thoughts/hints/solutions?

Thanks in advance!