Design a lead cask to ship nuclear power plant filter cartridges. The dimensions of the cartridge are: Dia=34.29 cm; length=147.32 cm. Assume the cartridge has an effective atomic number of 6 with a density of 0.4 g/cm3. Assume all the corrosion product activity has decayed out except for 2.3 Ci of Co-60 which is uniformly distributed throughout the cartridge.