Answer:
I am alive without breath and cold as death. I am never thirsty but always drinking.
If you're looking for something sweet I know what to do. But if you don't like heat I'm not for you.
Soft hairy from door to door. I am the pet that always stays on the floor.
I climb higher as I get hotter. I can never escape from my crystal cage.
People buy me to eat but never eat me. What am I?
Often cooked as fillet, this meat comes from an animal that swims underwater.