Yes, because it goes directly to the skin to cool so that we lose.
Yes, though not enough. When hot liquid lose: sweat. The surface of the skin needs continuously cooled, which increases the blood supply and perspiration-similar to how a motor is cooled.
This increased flow to the skin causes a significant heat exchange sharply raises our temperature . At that point, the inlet water results in extremely cold virtually instantaneous absorption in the digestive tract and their immediate transfer to the skin surface for cooling. That is, just enough time to recover the lost fluid.