the nose portion of the cone and a grinding wheel 54 which is coaxially aligned with the central axis of the tubular member at this work station is axially advanced to engage the large cut end 36 of the tubular member more particularly the grinding wheel 54 is composed of an abrasive material having an abrasive grain size of about 16 grit also the grinding wheel 54 has an end surface which includes an annular grinding surface 56 which is of generally frusto conical configuration and which is disposed at an angle a of about 15 u00b0 with respect to the rotational axis of the wheel 54 the annular grinding surface 56 is sized so as to be partially received in the adjacent large end portion 18 of the tubular member as seen in fig7 thus the grinding surface 56 faces radially outwardly so as to directly engage the annular burr 38 the grinding wheel 54 is rotated about its rotational axis which is coaxial with the central axis of the tubular member to thereby grind and remove the annular burr 38 and produce the above described relatively soft ground annular surface segment 24 which is composed of loosened paper fibers a sufficient portion of the annular burr and the adjacent portion of the tubular member is thereby removed so that no portion of the resulting soft ground annular surface segment lies radially inside the projection 26 of the inner wall surface 15 and in a preferred embodiment the annular surface segment 24 lies totally outside of the projection 26 of the inner wall surface from the grinding work station the tubular members 33 may be conveyed to another downstream work station 58.