Aussie-American Translation of "Cone"?

Aussie: ...Funniest moment for me - sitting next to a bloke about my age , outside having a smoke, and he asked me if I'd like to share a cone!

Pondering... Nope, doesn't seem to be in my vocab.

Can we have an Aussie-American translation of "cone"? I'm assuming it's something other than "ice cream"?

Or is this one of those infamous AoS "if you don't know, don't ask" items?