An astronaut is standing at the north pole of a newly discovered, spherically symmetric planet of radius R. In his hands he holds a container full of a liquid with mass m and volume V. At the surface of the liquid, the pressure is p0; at a depth d below the surface, the pressure has a greater value p.

From this information, determine the mass of the planet.
Express your answer in terms of the variables m, R, V, p,p0,d and appropriate constants.