Formula & worked example
V=t·(Qdemand−Qsupply)·Patm/(P1−P2), using consistent time/flow units and pressure difference.
A 10 m³/min peak with 6 m³/min compressor supply, 30 seconds hold time and a 2 bar usable pressure band needs about 1.01 m³ ideal receiver volume at 1.013 bar atmosphere.