What is the length of the escape rope in the cockpit? specifically A330-300 (If possible)
For the A320, this can be found in the CCOM (Cabin Crew Operation Manual)...



So the A320 is a 5.5 meter (17.04 foot) knotted rope stored above the side cockpit windows. There are 2 ropes in the cockpit (one on each side). 

I can't find the CCOM for the A330 but it should be a similar size.