Abstract: A drum-shaped workpiece (37) is machined according to a method whereby the workpiece (37) is fastened to a rotatable holder (1) of a machine tool (3) by means of an adhesive (45), for example a mixture including rosin and beeswax, such that a centerline (51) of the workpiece (37) coincides substantially with an axis of rotation (19) of the holder (1). This adhesive (45) is exclusively provided between the holder (1) and support surfaces (47, 49) of the workpiece (37) directed substantially parallel to the centerline (51), the workpiece (37) being brought into connection with the holder (1) exclusively via the adhesive (45). It is achieved thereby that mechanical stresses in the workpiece (37) caused by the fastening of the workpiece (37) to the holder (1) are as small as possible. A dimensional accuracy which the workpiece (37) has after being machined by the machine tool (3) and before being removed from the holder (1) thus remains intact when the workpiece (37) is removed from the holder (1).