A fire hydrant is supplied through a horizontal $6-$inch diameter cast$-$iron pipe that is $16,000ft$ long. The pressure drop over the length of pipe is $35.$ Find the flowrate, $Q.$ Assume absolute roughness for a new cast iron pipe $($found in a table in the textbook$).$ Do this a$)$ using the Moody diagram $($using $2$ iterations to find f$),$ and b$)$ using the explicit equation in the text for type $2$ problems. Compare your answers to parts a and $b.$