The word Exocytosis is made out of exo, what means outside of, and cyto, which means cell. That means it is going out of the cell. The membrane of the vacuole surrounding the material fuses with the cell membrane, forcing the contents out of the cell.
In the Playoffs the football teams have to leave the stadium after the game, so they go in the bus (vesicle) and leave. The bus is so big that they need an big exit.