Cylindrical pressure vessel with an internal body enclosed by an external body, with a cylindrical section closed by end caps and with the internal body and external body kept separate from each other to avoid a transfer of shear forces, wherein at least one end cap is connected only with the external body and contacts, with an overlap section intruding into the internal body, the inside surface of the internal body, with a seal arranged in the overlap section that contacts an interior circumferential surface of the internal body, and with at least one recess serving as a defined leakage path in case of an expansion of the external body relative to the internal body being arranged on the side of the seal facing away from the interior chamber, in the interior circumferential surface of the internal body that encloses the overlap section of the end cap.