  A general method of deprojecting two-dimensional images to reconstruct the
three dimensional structure of the projected object --specifically X-ray,
Sunyaev-Zel'dovich (SZ) and gravitational lensing maps of rich clusters of
galaxies -- assuming axial symmetry (Zaroubi et. al. 98), is considered. Here
we test the applicability of the method for realistic, numerically simulated
galaxy clusters, viewed from three orthogonal projections at four redshift
outputs. We demonstrate that the assumption of axial symmetry is a good
approximation for the 3D structure in this ensemble of galaxy clusters.
Applying the method, we demonstrate that a unique determination of the cluster
inclination angle is possible from comparison between the SZ and X-ray images
and, independently, between SZ and surface density maps. Moreover, the results
from these comparisons are found to be consistent with each other and with the
full 3D structure inclination angle determination. The radial dark matter and
gas density profiles as calculated from the actual and reconstructed 3D
distributions show a very good agreement. The method is also shown to provide a
direct determination of the baryon fraction in clusters, independent of the
cluster inclination angle.
