Q: What is the volume of this cylinder, in cubic kpc? V = (pi * R^2) * h = (pi * (20000 pc)^2 * 3000 pc) = 3.8 x 10^(12) cubic pc Q: What is the volume of this cylinder, in cubic cm? 1 pc = 3.08 x 10^(16) m = 3.08 x 10^(18) cm 1 cubic pc = [ 3.08 x 10^(18) cm ]^3 = = 2.92 x 10^(55) cubic cm volume of disk = 3.8 x 10^(12) pc^3 * 2.92 x 10^(55) cm^3/kpc^3 = 1.1 x 10^(68) cm^3 Q: Assuming that the hot ionized phase completely fills this cylinder (which it does not), how much mass would it contain? number of atoms = 1.12 x 10^(68) cm^3 * 0.0065 atoms/cm^3 = 7.2 x 10^(65) atoms If we assume all the atoms are hydrogen, mass of atoms = 7.2 x 10^(65) * 1.67 x 10^(-27) kg = 1.2 x 10^(39) kg = 6.1 x 10^8 solar masses Q: How does that compare to the measured masses of the other phases of the ISM? This is smaller than the mass of molecular gas, and only about one-tenth the mass of atomic gas.