I haven't looked this up so I could be totally wrong. I would guess than a standard can of fizzy drink would contain less than 100ml of carbon dioxide. Also, the carbon dioxide used is supplied by the big brewers/distillers as a by product of the fermentation of renewable plants. As such it does not add to the CO2 problem.
Burning 330ml of petrol (the same volume as a standard drinks can) produces over 300 litres of CO2.
The co2 in the uk comes as a by product of making ammonia gas for use in the fertilizer industry . The ammonia is made using natural gas . therefore the carbon dioxide used in the fizzy drink industry does contribute to global warming .