How do you purge air from the cooling system on an Audi v8?

To purge air from the cooling system of an Audi V8, start by ensuring the engine is cool. Remove the coolant reservoir cap and fill it to the recommended level. Then, run the engine with the heater set to high until it reaches operating temperature, periodically squeezing the upper radiator hose to help release trapped air. Finally, keep an eye on the coolant level, adding more if necessary as air bubbles escape.