A grinding tool (1) for machining the inside surface (2) of a cylinder bore (3) in a workpiece, having an axis of rotation (4), wherein the grinding tool has a grinding region (5) which is cylindrical with respect to the axis of rotation and a conical grinding region (6) axially adjoining the cylindrical grinding region and the diameter (7) of the conical grinding region (6) increases starting from the cylindrical grinding region (5) in the axial direction (26) with respect to the diameter (8) of the cylindrical grinding region (5).