An easy-to-assemble, disposable spherical hollow reamer for medical applications includes a shaft portion, a disposable spherical hollow reamer and a central conical plate. The shaft portion has a proximal end for attachment to a drill, a central conical element and a distal precision threaded screw end. The spherical hollow reamer has plurality of cutters and apertures that extend through its thickness. The spherical hollow reamer has a precision threaded aperture that engages with the threaded end of the reusable shaft precisely aligning the centerline of the shaft with that of the spherical hollow reamer, providing wobble free reaming action. The central conical plate in combination with the interior surface of the spherical hollow reamer forms an enclosed space for capturing bone fragment and bone cement debris.