A spherical vessel with a diameter of 3.0 m is used to store a liquid at 0 C. The vessel is covered with 5.0 cm of insulation (k=2.0 W/m∙K) and the surroundings have the temperature 22 C. The combined heat transfer coefficient on the outside is 10 W/m2K and on inside 40 W/m2K. Calculate a) all thermal resistances, b) transmitted power to the fluid, c) the temperature on the outside of the insulation as well as d) the maximum transmitted power with radiation between the outside of the insulation and the surroundings.