The invention relates to a molded body having a polymeric coating in which cladding material is prepared from a polymer solution; carrier material is guided through a feed channel and an outlet opening into a coating chamber, the feed channel traversing a container holding the cladding material; the cladding material is guided through a predefined gap into the coating chamber, and contact is effected between the cladding material and the carrier material to form a preliminary layer; the carrier material and preliminary layer are guided through an outlet opening into a relaxation zone; by setting the withdrawal of the carrier material via the outlet opening into the relaxation zone, the cladding material, the carrier material or both can be altered; and solvent is removed from the polymer layer. The molded bodies are preferably fibers, in particular bristles, such as brush or paint brush bristles.