This paper presents a numerical study of the acoustical effects of cavitation caused by a water flow through a circular-centered single-hole orifice installed in a simplified piping system. The investigation of the effect of the cavitation on acoustic pressure fluctuations and resonance frequencies provides extra information about the geometry of the cavity and the damping characteristics of the cavitation medium. First, the model of a three-dimensional underwater jet is built. Then, time-accurate solutions of the flow-field variables are obtained from the SAS-SST simulation and the sound pressure signals far downstream of the orifice are computed by applying the Ffowcs Williams-Hawkings (FW-H) formulation. Finally, the noise of underwater jet is simulated using the Large Eddy Simulation (LES) with a two-dimensional approach. The solutions obtained by the LES/FWH and SAS-SST/FWH methods are compared with the experimental data available in open research.