Model tests are to be performed to study the flow through a large check valve having an inlet diameter of 2 feet and a volume flowrate Qp of 30 cfs. The working fluid in the model is water at the same temperature as that in the prototype. Complete geometric similitude exists between the model and the prototype. The model inlet is 3 inches. Determine the required volume flowrate Qm in the model. (HINT: Think carefully about which common-group is relevant for flow through a valve.)