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This paper presents a novel approach in 3D content-based search and retrieval. First, a set of functional are applied on a 3D model's volume producing a new domain of concentric spheres. In this new domain a new set of functionals is applied, resulting to a completely rotation invariant descriptor vector, which is used for 3D model matching. Experiments were performed using a database and comparing the proposed method with the MPEG-7 3D shape spectrum descriptor. Experimental results show that the proposed method is superior in terms of precision versus recall and can be used for 3D model search and retrieval in a highly efficient manner.