An instrument and method for measuring the volume of a hermetically sealed, variable volume, pressure conforming container. The instrument includes a needle, a vacuum pump, a mass flow rate sensor and an integrator. The needle has a lumen operable for sealingly perforating a container and thereby placing the lumen of the needle in fluid communication with a retention chamber defined by the container. The vacuum pump evacuates the gaseous content from the retention chamber through the lumen defined by the needle and past a mass flow rate sensor for sensing mass flow rates pulled through the lumen and transmitting corresponding mass flow rate signals over time to the integrator. The integrator is programmed to integrate the received mass flow rate signals over time through achievement of an evacuated retention chamber to generate a total mass value, and calculate a volume from the total mass value employing the Ideal Gas Law.