You can work out the volume of a length of pipe from v = pi.R².L
on some of the older ones which run at nearly half the rpm of this one they used to curl the discharge/delivery pipe around the crank pulley side of the compressor before running to the check valve to at least try and cool the air temp as well as to give more room for the motor to come up to speed.
There is an aftercooler fitted (picture in post 73). I wonder if that brass plug could be replaced by a delay valve, like my Clarke has.