Alternator pulley and cooling hose

[Campbell]

Messing with a few projects and need some help, what is the hose that goes from the side of the 8v 1.8 head to the heater core pipe when you bypass the heater core? it is a large diameter hose on one end and small on the other.. I have seen this on many vw's but don't know what it is to order... Second, I had an alternator for a non a/c 1.8 that had the 2" extender on the shaft. That alternator was bad so I was going to swap the pulley and extender on another - removed the nut but nothing budged. I then tried a gear puller on it and all I did was bend the pulley!! how do you get those off? anyone have one of those set ups they can part with? thanks