In the spring of 1838, he purchased Mammoth Cave from Hyman Gratz with the intent to operate the cave as a tourist attraction. Gorin was a slave owner, and used his slaves as tour guides. One of these slaves, Stephen Bishop, would make a number of important contributions to human knowledge of the cave, and become one of Mammoth Cave's most celebrated historical figures. In 1839, Gorin sold the cave and his slaves to Dr. John Croghan.
In 1874, Gorin was elected to represent Kentucky's 3rd District in the U.S. House of Representatives.