please show all work and explain 3. Design a piston for a four stroke diesel engine consuming 0.3 kg of fuel per kW of power per hour and produces a brake mean effective pressure of the 0.7 N/mm². The maximum gas pressure inside the cylinder is 5 N/mm² at a speed of 3500 r.p.m. The cylinder diameter is required to be 300 mm with stroke 1.5 times the diameter. The piston may have 4 compression rings and an oil ring. The following data can be used for design: Higher calorific value of fuel 46 x 103kJ/kg: Temperature at the piston centre 700 K; Tempressure at the piston edge-475 K; Heat conductivity factor 46.6 W/m/K; Heat conducted through top-5% of heat produced; Permissible tensile strength for the material of piston 27 N/mm²; Pressure between rings and piston 0.04 N/mm²: Permissible tensile stress in rings 80 N/mm²: Permissible Pressure on piston barrel -0.4 N/mm²: Permissible pressure on piston pin -15 N/mm²: Permissible stress in piston pin 85 N/mm². Any other data required for the design may be assumed.