A long plastic rod of \(20-\mathrm{mm}\) diameter \((k=0.3 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K}\) and \(ho c_{p}=1040 \mathrm{~kJ} / \mathrm{m}^{3} \cdot \mathrm{K}\) ) is uniformly heated in an oven as preparation for a pressing operation. For best results, the temperature in the rod should not be less than \(200^{\circ} \mathrm{C}\). To what uniform temperature should the rod be heated in the oven if, for the worst case, the rod sits on a conveyor for \(3 \mathrm{~min}\) while exposed to convection cooling with ambient air at \(25^{\circ} \mathrm{C}\) and with a convection coefficient of \(10 \mathrm{~W} / \mathrm{m}^{2} \cdot \mathrm{K}\) ? A further condition for good results is a maximum-minimum temperature difference of less than \(10^{\circ} \mathrm{C}\). Is this condition satisfied? If not, what could you do to satisfy it?