Open the drain plug at the bottom of the radiator on the Cavalier if the plug is there. If the radiator is the model that does not have the plug, then the bottom hose needs to be removed to drain the coolant.
The drain plug on the radiator of a 2002 Cavalier is located on the front of care through the lower front air dam area. You will find it's on the right and you should use 1/4" ratchet and extension to open it.
The radiator drain plug on a Chevrolet Corsica is the lowest, skinniest hose on the back of the radiator. The radiator cap will have to be removed to allow for fast draining after this hose is removed.