The symmetrical sedimentation of a slender solid torus in a quiescent fluid contained in an infinitely long vertical circular cylinder (so that the torus's symmetry axis lies along the cylinder axis) is examined theoretically by making an expansion in terms of a slenderness ratio k. The results for the drag force on the torus, obtained up to terms of orderk2, are compared with the results obtained from the theories of Johnson and Wu (1979) and of O' Neill (1984) and also with the experimental results obtained by Amakaroonet al(1982)