In this paper the field equations of general relativity are solved to
obtain an exact solution for a static anisotropic fluid sphere. The so
lution is free from singularity and satisfies the necessary physical r
equirements. The physical 3-space of the solution is pseudo-spheroidal
. The solution is matched at the boundary with the Schwarzschild exter
ior solution. Numerical estimates of various physical parameters are b
riefly discussed.