it depends on where you get the drink cuz they have many different names for the same single thing.
for example:
Frap/Frappuccino at Starbucks
Coolatta at Dunkin` Donuts
Blast at Baskin-Robbins
Cooler is used in many places as well
Smoothie is more FRUITY-wise. as for Sorbet, it`s non-dairy fruity ice cream.