(Solved): Number density 1.1 Consider a universe uniformly filled with galaxies of average radius, Rg=2000 ...

Number density 1.1 Consider a universe uniformly filled with galaxies of average radius, $R_g=2000pc$. A reasonable number density of galaxies is, $n_g=1/Mp{c}^3$. The parsec is a common unit in astronomy. $1pc=3.086\times 10^{16}\mathrm{m}$ and $1Mpc=10^{6}pc$. A) The universe has an average density of ${?}_0=2.7\times 10^{?27}\mathrm{kg}/{\mathrm{m}}^3$. Assuming that this mass is all contained in galaxies, calculate the average mass of a galaxy. B) Assume that the average star in these galaxies is equal to our sun. How many stars are in the average galaxy?