005 (part 1 of 2) 10.0 points The emergent velocity of a liquid flowing from a hole in the bottom of a tank is U = 2gh where g is the acceleration due to gravity (32 ft/s') and h is the depth of the liquid in the tank. a) Find the rate of change of v with respect to h when h = 8.5 ft. Answer in units of ft/s. 006 (part 2 of 2) 10.0 points b) What is the rate when h = 3 ft? Answer in units of ft/s. 007 10.0 points At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at the rate of 11 fto/min. The diameter of the base of the cone is approximately three times the altitude. At what rate is the height of the pile changing when it is 15 ft high? Answer in units of ft/min