As we approach the ambient density of the solar system, the pressure at the surface of a star (Psurface) tends to be close to zero. Consequently, the pressure at the core (P(r=0)=Pcore) can be determined through integration:
ā«0^R (delP)/(delr)dr = Psurface - Pcore = -Pcore
Utilize the hydrostatic equilibrium equation to compute Pcore for a star with a uniform density profile, Ļ(r) = ar. Express your result in relation to fundamental constants, the star's radius (R), and its total mass (M).