(a) Consider a thin-walled cylindrical tube having a radius of 65 mm that is to be used to transport pressurized gas. If inside and outside tube pressures are 100 and 1.0 atm (10.13 and 0.1013 MPa), respectively, compute the minimum required thickness for each of the following metal alloys. Assume a factor of safety of 3.5 Yield Strenth, Density, Unit Mass Cost, Ơy (MPa) Alloy rho (g/cm2) ($US/ kg) Steel (plain) 375 7.8 1.65 Steel (alloy) 1000 7.8 4.00 Cast iron 225 7.1 2.50 Aluminum 275 2.7 7.50 Magnesium 175 1.80 15.00 (a) Steel (plain) (b) Steel (alloy) (c) Cast iron (d) Aluminum (e) Magnesium