Right answer is (a) 5.3 Hp
For explanation: The correlations calculate the delivered Power to the fluid. This must be corrected back to the agitator motor and account for efficiency losses in the motor, gearbox, and bearings.
PDelivered = (NP ρB * N^3 * DA^5) / GC
PDelivered = 6 * 64 * 1^3 * 3^5 / 32.2
PDelivered = 2,898 ft-lb/sec
or using 550 ft-lb/sec per Hp,
PDelivered = 5.3 Hp.