The Lady-Godiva sphere is made of uranium that is 90% enriched in U-235. The density of this fuel is 18.75 g/cm. a) Calculate neutron reproduction factor for this uranium composition. b) Determine infinite neutron multiplication factor of the assembly. c) What is the diffusion length of fast neutrons in this fuel? d) Determine neutron nonleakage factor and effective multiplication factor of the assembly that has a mass of 45 kg. e) What should be the radius of the assembly to make it critical?