1997 Corolla Radiator Overflow Jug Hose?

yesterday my overflow jug popped off, melted and now needs to be replaced. The cap is still on it the jug and the one hose that's left (the other one flew out) is still attached to the radiator. When I replace this jug and hosing, what part of the engine does the other half of the hose go to, from the cap?