Abstract: A reamer for shaping a socket, such as a hip socket, comprising a cutter head located at one end of a rotatably driven shaft and having a hemispherical portion with a hemispherical exterior surface, the hemispherical portion containing a closed hollow chamber, and helical openings, such as slots, in said hemispherical portion connecting between the exterior surface and the chamber, the trailing portion of each of the openings having a cutting edge raised slightly above the hemispherical surface to move material from the socket into the chamber during rotation of the cutter head, and an attachment element for connecting and disconnecting the cutter head and the drive shaft.