  We investigate whether compact stars having Tolman-like interior geometry
admit conformal symmetry. Taking anisotropic pressure along the two principal
directions within the compact object, we obtain physically relevant quantities
such as transverse and radial pressure, density and redshift function. We study
the equation of state for the matter distribution inside the star. From the
relation between pressure and density function of the constituent matter, we
explore the nature and properties of the interior matter. The red shift
function, compactness parameter are found to be physically reasonable. The
matter inside the star satisfies the null, weak and strong energy conditions.
Finally, we compare the masses and radii predicted from the model with
corresponding values in some observed stars.
