Trimming using grasshopper

Hello everyone,

I'm doing a project in digital design which is basically a paneling of a surface with cones (I'll add a screen). I need to trim all the parts below the intersections of the cones and it takes ages by doing it manually in rhino.

I was trying to find a solution in Grasshopper, but couldn't find one yet.
I would really appreciate any ideas. Ones that involve scripting is also cool.

Thank you!