### Given the following information, what is the density of the black hole in #g/cm^3#?

Scientists discovered a new class of black holes with masses 100 to 10000 times the mass of our sun, but occupying less space than our moon. Suppose that one of these black holes has a mass of $1 x {10}^{3}$ suns and a radius equal to one half the radius of our moon. The radius of our sun is 7.0 x 10^5 km with an average density of $1.4 x {10}^{3} k \frac{g}{m} ^ 3$. The diameter of the moon is $2.16 x {10}^{3}$miles.