A company has two pipes under consideration to use the siphon effect to drain one storage pond to another at 40.3 meters lower elevation. Pipe A is 12.72cm in diameter and Pipe B is has a diameter of 1.68 cm.

(a) If the pipes were the same length, how many times greater (i.e by what multiple) is the flow rate of Pipe A than that of Pipe B. (b) Suppose Pipe A is actually 67.1 meters long whereas Pipe B is 61.83 meter long. What now is the ratio of the flow rates? (c) To help the flow rate, the pipes could be hooked up to a pump that increases the pressure on water at the top lake to an additional 38.5 PSI. If Pipe #1 is used, by what factor does this increase the flow rate as compared with not having the pump? (d) For the ratio of the flow rates in part (a), what is the ratio of the speed of the water flowing in Pipe A to that of Pipe B?