A sugar solution undergoes laminar flow from a reservoir to a product preparation vessel through a(n) 4.5-in. diameter pipe. The pipe needs replacing and a vendor suggests replacing the 4.5-in. pipe with a number of 1.5-in. diameter pipes. How many 1.5-in. pipes will it take to provide the same flow rate as one 4.5-in. pipe? Assume the pressure drops along the lengths all pipes to be identical