My car was leaking water but wasn't that bad, then it started to pour the water out as soon as I put any in. It looks like it's coming from the radiator but I can't see inside the area that contains the radiator to tell. One person thought it was the water pump but it looks like it's coming from the radiator. My question is how do I get the radiator out in order to replace it and does this sound like the radiator?

More than likely the intake manifold. It has a crossover tube for coolant in the front of the engine, rite behind alternator. Very common to crank there and water would come out front andrear of eengine area because it flows into empty valley in center of motor and leaks to the rear onto tranny housing and onto exhaust. Causing steam, white smoke. but this is just a guess, could also have a blown or leaking head gasket, hose pretty much anything can have deteriorated in that time.I suggest no running it, until a mechanic can come look at it with a coolant pressure tester.

You just blew your head and gasket. I just had that same thing happen last month. When it over heated is the time that you blew the engine head's gasket. When you kept driving it is when you damaged your engine head. You also should have noticed that the as soon as you put water in the radiator that it was leaking out back of engine from the freeze plug or plugs. Cost of freeze plug is couple bucks "looks like small cup cake tin." The Freeze plug has to be replaced 1st, but depending on how bad the head is damaged you could get off cheap by pouring in a $40 gasket sealer liquid down into the radiator and lots of water to keep the water level up. I would also remove the thermostat and put host back on. Since your car is older that I do not think it ruined the values or rods.

This can be a result of blown head gasket. Your vehicle is suppose to have water build up in the exhaust but this is limited to a small quantity. if it pours out, you have a water port which leaks to the exhaust. replace as soon as possible to avoid further engine damage. the flange gasket is also not good anymore this is why you can see the water coming out there.

you have to figure out where the leak is first and u cam add water while running just dont do it when car is hot

Can be several things. Bad Radiator, Bad hoses on radiator, or nearby water pump is leaking.

They make a Radiator pressure tester which will put pressure in the system so you can see where the leak is coming from.

Water pump gasket most likely. or you did not ge the hose tight enough. Failing to get the pump gasket sealed is common.

On a chevrolet the water pump gaskets sometimes had extra tab on them. I think it may have been for an optional bypass in the pump. It is normal for a hole to be showing (in other words). I would think it would be hard for water to pour out of that gasket. The water pump was just replaced? Maybe too long of a bolt was used. Possibly the water pump wasn't tightened up right and the housing is cracked? Chevrolet is one of the easiest water pumps to put on, I can't imagine what else could be wrong. Maybe bolts were never tightened. Hope one of these may help you.

most coolant stop leaks will not work with anti-freeze at all,only clear water only. please read the label on the product and follow it to the letter.most stop leaks will not work under extreme conditions,such as a bad water pump or missing water pump belt,or bad thermostat. with common leaks along the radiator SEAMS they may help some. please seek a mechanic soon,you can damage your engine without proper coolant in it. which can lead to an engine replacement. where the steam is coming from is where your coolant leak is. it may only be a bad or faulty hose. a simple pressure tester rented from auto-zone or avanced automotive will reveal your leak.please follow the instructions with the rental equipment,and you will find the leak in the coolant system quickly. thank you for choosing fixya.com

You have a bad casting plug in the side of the engine. A lot of people call them freeze plugs because they pop out if the coolant freezes. They also rust through. They are driven in place and the size can be looked up at the parts store. You will want to change all of them . Lee
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It has popped the freeze plugs out and you won't know the extent of the damage it has made till you replace the freeze plugs. You never i mean never pour water into a vehicle around time for freezing weather