The table shows S=f(t), the amount of snowfall during a winter storm as a function of time, t, in hours, since it started to snow. Complete the equations and statements below about the function f and its inverse.

Gravel is being dumped from a conveyor belt at a rate of 25 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. how fast is the height of the pile increasing when the pile is 14 ft high? (round your answer to two decimal places.) ft/min