A drum used for percussion has sides modeled by a hyperbola. The total height of the drum is 35 inches. The diameter at the top
of the drum is 16 inches, and the minimum diameter is 8 inches, occurring at a height of 22 inches. Determine the equation of a hyperbola that models the sides of the drum assuming that the center of the hyperbola occurs at the height where the diameter is the least.
