The invention relates to an arrangement composed of a measuring device and a container, wherein the measuring device (1) is suited for insertion into the container, which contains the medium to be measured, and wherein the container for receiving the measuring device (1) has a connector piece (20) having a passage opening extending in an axial direction and a seal land (22) projecting into the passage opening, wherein the measuring device (1) comprises a rotationally symmetric housing part (10), which is flush with the connector piece (20) and has an external cone portion (11), which forms with an internal cone portion (21) provided on the connector piece (20) a beveled sealing surface pair. According to the invention, the sealing element in the region of the external and internal cone portions (11, 21) consists in the front end section, which faces the medium, at least partially of a plastic, especially PEEK, or an elastomer and consists in the adjoining second section (32), facing away from the medium, of metal or ceramic or a fiber-reinforced plastic so that a defined and thus pressure- and force-resistant stop results in the axial direction between the external cone portion (11) of the measuring device (1) and the internal cone portion (21) of the connector piece (20), while independently thereof the sealing function is achieved exclusively in the front end section (31), facing the medium, of the sealing element (30).