insulate the cartridge the best you can (to help keep from freezing) and check it.
I once drank a whole bottle of hot sauce in front of a TSA agent, because I didn't want to simply let it go to waste when they confiscated it. (pineapple habanero hot sauce from Maui.... freakin' delicious) ...and it wasn't even half the size of an ink cartridge, so they'll definitely take it.
Can I ask why you would need to take ink on a plane??