A wrapper wraps a round-cylindrical object (B) into wrapping material. A tilting unit tilts the wrapped object (B) selectively to the left or to the right and deposits the tilted object on one front face (FF.r). For tilting the object (B) the object (B) is moved on a trough (2) of a tilting unit. A tilting unit actuator ( 16.2) pivots the trough (2) carrying the object (B) selectively to the left or to the right.