As some of the most massive and largest structures in the universe,clusters of galaxies serve as powerful cosmological probes. The present era of X-ray astronomy provides an unprecedented view of these X-ray luminous objects, resulting in strong observational constraints on cosmological parameters. Presented in this dissertation is the X-ray and Sunyaev-Zel'dovich Effect analysis of the massive galaxy cluster Abell 1995 from which we derive constraints on the universal matter density ΩM and the angular diameter distance to the cluster DA. In this dissertation we present observations and analysis of (i) the X-ray imaging from the ROSAT HRI and the global spectroscopy from the SIS and GIS instruments of ASCA, (ii) the X-ray imaging and spatially resolved spectroscopy from ACIS on board the Chandra X-ray Observatory and (iii) the BIMA and OVRO 28.5 GHz interferometric imaging of the Sunyaev-Zel'dovich Effect in Abell 1995. The ACIS X-ray spectrum of this distant (z = 0.3219) cluster of galaxies shows no significant temperature or metallicity variation as a function of position in the cluster and the surface brightness profile and the spectral data show no evidence of a cooling flow in the cluster core. Using spatial and spectral parameters derived from the Chandra X-ray observations and under the assumptions that the cluster is isothermal and in hydrostatic equilibrium, we determine the total gravitational and gas mass of Abell 1995 as a function of radius. From these mass estimates a lower limit is placed on the cluster baryon fraction fB>~0.039+0.003- 0.003h -3/2 within a radius of 4.0' (0.738h -1 Mpc). In combination with recent baryon density constraints, the cluster baryon fraction yields an upper limit on the universal matter density parameter WM<~0.48+0.07- 0.06 h-1/2 . Combining the Chandra X-ray imaging and spectroscopy with the 28.5 GHz interferometric Sunyaev-Zel'dovich effect measurements yields a cluster distance DA=1844+394+623-35 4- 654 Mpc (statistical followed by systematic uncertainty). Compared to the ROSAT and ASCA results, the Chandra data provide significantly smaller statistical and systematic uncertainties in the inferred parameters.