please solve this problem in details

please explain via calculations

2. In studying for your CBEMS 125B exam, you get hungry and decide to boil some water in a pot to make instant noodles. You put your aluminum spoon, with a long handle (i.e. good to use "long fin approximation"), in the pot in anticipation of stirring the noodles into the boiling water. However, your phone rings, and you leave the spoon in the boiling water on the stove for quite a while (i.e. the system reaches steady-state conditions) before you come back to it. The boiling water is at 100C and room temperature is 25C. The spoon has a square handle that is 0.6 cm per side. At a handle height of 6 cm, the temperature of the long aluminum spoon is 70C. The Royal Society for the Prevention of Accidents lists a maximum surface temperature of 56C as a "safe" touchable temperature for metals. Is the spoon safe to pick up at a handle height of 12 cm? Justify your answer with calculations. Assume (1) No radiation effect, (2) convection heat transfer coefficient is uniform in the pot above the boiling water, and (3) there is not heat transfer from the pot directly to the spoon (only heat transfer into the spoon is through boiling water). State any other assumptions you make. Height = Square cross-section: 0,6-cm * 0.6-cm Height = 0 cm