seen your other post but posting here instead for future referencesthe iten numbers above are slightly wrong (too long)fowlers list these as back order and are bloody expensive (if backorder is available)5dm1258800 no25dm1248100 no9 https://www.fowlersparts.co.uk/parts/4181639/fzs600-fazer-5rt4-2003-070-c/radiator-hose5dm1248200 no 15 https://www.fowlersparts.co.uk/parts/4181638/fzs600-fazer-5rt4-2003-070-c/water-pumpdont throw the old ones away just yet because if you cant find any then there is still the option to have some fabricatedi would probably go to a hydrolics engineering firm for this but i say that as there is one in my village so they are close
Looks more like a hose leak, did you remove the larger hose to check it?
If they are just pinholes, then chemical metal is your friend.
1000 has stainless down pipes
I have never seen coolant pipes corrode before the downpipes gave up the ghost
All fazers have it, the Carburetors are heated by flowing coolant through the carburetors (different circuit to fuel and air) to prevent what is called Carburetor Icing in cold damp weather, which would effect the cold running at idle to 1/2 throttle.It happens when there is damp cold air (below 4C) and the water vapor freezes going through the carburetors.If you look closely at the front upper of the carbs on both sides you will see black hoses attached to the outer two. They go to the rear right side radiator (Small pipe) on the and thermostat housing under the tank.
Any chance you might tell us how the problem was resolved?