Let R be the flow rate of a gas through a cylindrical pipe for a fixed drop in pressure between the two ends of the pipe For the following recall that you do not need to simplify or expand any of your expressions a Find a formula for R r if the flow rate is proportional to the fourth power of the radius R Use k for any constant of proportionality you have in your equation 3 b If R 420 cm s in a pipe of radius 3 cm for a certain gas find a formula for the rate of flow of that gas through a pipe of radius r cm R cm s c What is the rate of flow of the same gas through a pipe with a 4 cm radius R cm s correct