Answer:
Two in a whole and four in a pair. Six in a trio you see. Eight's a quartet but what you must get is the name that fits just one of me.
I can wave my hands at you but I never say goodbye. You are always cool when with me even more so when I am high!
I soar without wings I see without eyes. I've traveled the universe to and fro. I've conquered the world yet I've never been anywhere but home.
Tear me off and scratch my head what once red is now black.
You seek me out when your hunger's ripe. I sit on four legs and smoke a pipe.
Why was the cook arrested?