Calculate the average density of the red giant star in grams per cubic centimeter (g/cm^3). Take the star's mass to be 2 x 10^33 grams and its radius to be 3 x 10^12 cm. How does this density compare with the air that we breathe (about 10^-3 g/cm^3)? Explain each step in detail!
Formula: density = Mass/Volume = M/(4/3 π R^3)
Approx = 1.77 x 10^-5 g/cm^3