Abstract: A cutter has a roller body which is made from a hollow profile-like inner part and a tubular profile-like outer part having an irregular cross-sectional shape. The outer part and inner part are such that the working flight circle of a tool on the body is approximately as near to an axis of rotation as the maximum outer circumference of the body. Apart from forming a mold core for the outer part, the inner part also forms a clamping body, and includes a supporting body and a balancing counterweight for the tool unit, thereby providing a very high cutter block strength, and at the same time, a low mass moment of inertia.