Additive manufacturing enables the production of customized and complex parts. These two aspects are attractive for the aerospace and medical sectors. In these critical sectors, however, governed by strict safety requirements, the quality of the parts is of paramount importance, and the technology has advanced at a much faster pace than regulations and quality controls. The reliability of the parts must be guaranteed, and hence quality control is needed. Considering the complexity of additively manufactured part shapes, the inspection methods need to be nondestructive, three-dimensional, and volumetric. X-ray computed tomography is presently the most appropriate method, but the relatively high cost and testing duration make routine inspection difficult. Thus, alternative nondestructive volumetric methods are required. In this paper, four alternative methods utilizing acoustic waves (resonant acoustic method, process compensated resonance testing) and ultrasonic waves (conventional ultrasonic testing, phased array ultrasonic testing combined with total focusing method) are investigated and compared with X-ray computed tomography using synchrotron radiation.