Consider a system composed of three surfaces: surface A, surface B, and surface C. Surface A is a large plate with an area of 3m ^ 2 and an emissivity (el) of 0.85, maintained at a temperature of 600K. Surface B is a smaller plate with an area of 1m^2 and an emissivity (2) of 0.95, kept at a temperature of 400K. Surface C is a hemisphere with a radius of 0.5 m and an emissivity (3) of 0.9, maintained at a temperature of 700K. The plates and the hemisphere are arranged such that surface B is between surfaces A and C, and they are not in direct contact. Determine the net rate of heat transfer between surfaces A, B, and C considering radiation.