Is a bowl of soup 600 ml or 6 liters?

No, no normal food bowl for table use could hold 350 liters, which equals more than six hundred pints.

350ml, or 350 milliliters, or .35 liter, or about 12oz, would be a reasonable capacity for a soup bowl.

One liter, or 1000 milliliters, equals about 1.8 pints (UK) or 2 pints (US), or 35oz.

The capacity of soup bowls vary; they can hold anywhere from 230ml (8oz UK) to 500ml (half a liter, or 16oz UK), and might hold more, or less, depending on style and use.