An engine cylinder must be cooled to prevent damage. The external diameter of the cylinder is 60 mm, and its length is 0.12 m. The surface temperature of the cylinder should not exceed 475 K. Two possible cooling methods are proposed. The first method involves surrounding the cylinder with a jacket and circulating coolant through it. The average temperature of the fluid is 325 K and the heat transfer coefficient is 400 W/mK. The second method will use a currently undefined number of annular fins. Each fin is 5 mm thick and extends 30 mm from the surface of the cylinder. The heat transfer coefficient is 50 W/mK and the temperature of the surrounding air is 300 K. The efficiency of each fin is 87%. (b) Produce labelled diagrams of the two proposed cooling methods. (c) How many fins are required to remove the same amount of heat from the cylinder as the coolant jacket? (d) The optimum fin spacing for this design of fin is 8 mm. How will the heat transfer be impacted by using the number of fins found in part (c). (e) Discuss the advantages and disadvantages of each of the two methods.