Tornadoes and hurricanes are formed by completely different processes, and they aren’t fueled by the same power sources.
Tornadoes do form in mid-latitude cyclones that form because of contact between cold and warm air masses. But at the locations where the two are coming into contact, [the air *at the ground* is the cold air, and the air aloft is warmer](https://en.wikipedia.org/wiki/Occluded_front#/media/File:Front_occlus_trowal_en.png).
Hurricanes don’t feel cold at all (although if you live in the midlatitudes, a hurricane will often pass you just before a trough associated with a cold front, so it may be cool *after* the storm). Hurricanes always form in very warm, moist air, and cannot usually survive water temperatures below about 25 C (77 F) for long. Their power source is the *latent heat* released as water condenses out of the air, which is quite different from the power source for tornadoes.
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