How to cut a selection with a plane

I have created a sketch that revolves around an axis, creating a revolve feature. Next, I made two planes in both sides of the solid revolved part, so that I could cut this part with them. I went and found out how to cut with a plane on this forum, but when I do it, the plane cuts trough the whole object, and not my selection.

  Here you can see the part:

The green-red lines are the planes I want to cut with, and the blue selection is the revolve feature I want to cut. Is there a way to use the "Cut > With surface" tool so that it only affects a selection?

Thanks for reading!

SolidworksParts And Features