A centrifugal pump has d1= 6 inches, d2= 14 inches, b1= 5 inches, b2= 4 inches, Beta1= 20 degrees, Beta2= 45 degress and rotates at 1150 r/min. If the fluid is gasoline at 20 degrees Celsius and the flow enters the blades radially, estimate the theoretical (a) flow rate in gal/min, (b) horsepower, and (c) head in ft.