In a music room, the ratio of clarinets to the number of flutes was 3: 4. after the school bought another 24 flutes, the ratio became 3: 8. how many clarinets were there in the music room?

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