A scented article of manufacture, such as a bowling ball, including a mass of polymeric material. The mass of polymeric material is substantially nonporous and may be substantially rigid. Polyurethane may be used as the polymeric material. A method by which the article of manufacture is formed includes blending fragrance with a liquid or liquified material, substantially removing gas and gas bubbles from the mixture of fragrance and liquid or liquified material, introducing the mixture into a cavity of a mold, and permitting or causing at least the liquid or liquified material within the cavity to cure.