Assembly for machining workpieces

An arrangement for machining workpieces, comprising

• a machining tool (1) having a cutting edge region (3) and a shank (30), the shank (30) having a conical shank region (5) and a holding region (4) arranged adjacent to the shank region (5),
• a tool extension (2) having a conical receiving region (21),
• the conical shank region (5) and the conical receiving region (21) being complementary to each other such that the machining tool (1) is held between the conical shank region (5) and the conical receiving region (21) in the tool extension (2) exclusively by means of a force-fitting connection, and
• a tool holding device (15) for receiving the tool extension (2), the tool holding device (15) being adapted to be connected to a rotatable spindle of a machine tool,
• wherein the cutting edge region (3) has a maximum diameter D1 in a plane E perpendicular to a center axis X,
• the plane E intersecting a bounding volume (12) which is a mathematical extension of an outer cone (8) of the tool extension (2), such that a maximum first distance A1 of the bounding volume (12) from the cutting edge region (3) is at most 10% of the diameter D1 of the cutting edge region (3) or the cutting edge region (3) touches the bounding volume (12) or the bounding volume (12) intersects the cutting edge region (3) such that a maximum second distance A2 in the plane E of the cutting edge region (3) is less than or equal to 30% of the diameter D1 of the cutting edge region (3),
• wherein the outer cone (8) has a first cone angle a which is smaller than or equal to 10°, and
• wherein a distance A of a free end (31) of the cutting edge region (3) to an exposed end (6) of the tool extension (2) is smaller than five times the maximum diameter D1 of the cutting edge region (3).