A large water tank empties slowly through a small hole under the force of gravity. The flow is steady, and the volumetric flow rate (in mụ/s) depends on the exit velocity V, the gravitational acceleration g, the depth of the water h, and the diameter of the hole D. (a) Express the nondimensional volumetric flow rate ġ in terms of its dependence on the other nondimensional groups. (b) A test is to be made on a 1/4th scale model. What is the ratio of the model volumetric flow rate to the prototype volumetric flow rate that wou