A new radiant heating system is installed in the floor of a room \(4 \mathrm{~m}\) long by \(3 \mathrm{~m}\) wide. The floor is held at a temperature of \(35^{\circ} \mathrm{C}\) and the ceiling, located \(2.75 \mathrm{~m}\) from the floor, is well insulated. The walls leak heat and have a surface temperature of \(17^{\circ} \mathrm{C}\). If all the surfaces have an emissivity of 0.9 , how much heat is transferred via radiation from the floor?