The 20 lb propane tank is the standard tank used to hold propane for barbecue grills across the country. The tank can be idealized as a cylindrical pressure vessel with a diameter of 12" and a length of 18". The propane in the tank is pressurized to a pressure as high as 200 psi. The tanks are typically made from steel and rust if the paint chips or degrades. Few homeowners want a rusty tank containing pressurized propane sitting on their deck or patio, so tanks often get replaced once they rust. In this problem, you are to consider making the tank out of a 6061-T6 aluminum alloy with a Young's modulus of 10,000 ksi and a yield strength of 35 ksi. Assume a safety factor of 5 is required