A volume measurement and/or metering device includes a cylinder/piston and cock system for sucking in and/or discharging liquids in a defined way, the piston being movable in relation to the cylinder for sucking in or discharging the liquid. The cylinder is mounted, together with the cylinder bottom, rotatably with respect to the cock system about an axis of rotation parallel to the cylinder longitudinal axis. The cylinder bottom bears with a sealing seat against a cock element of the cock system, the cock element having at least one duct orifice. These orifices are arranged in such a way that the at least one orifice in the cylinder bottom can be brought into congruence with the orifices of the cock element when the cylinder and the cylinder bottom are rotated. Further, the cock element is brought into a sealing closing position for simultaneously closing of all the orifices of the cylinder bottom are provided.