# Problem: In 1999, scientists discovered a new class of black holes with masses 100 to 10,000 times the mass of our sun, but occupying less space than our moon. Suppose that one of these black holes has a mass of 1x103 suns and a radius equal to one-half the radius of our moon.What is the density of the black hole in g/cm3? The radius of our sun is 7.0x105 and it has an average density of 1.4x103 kg/m3. The diameter of the moon is 2.16x103 miles.

###### FREE Expert Solution

Calculate the volume of the sun:

volume = 1.43675x1018 km3

Calculate the mass of the sun:

mass = 2.0114x1030 kg

Calculate the mass of the black hole:

mass = 2.0114x1036 kg

Calculate the radius of the moon in m:

radius = 1737720 m

Calculate the radius of the black hole in m:

radius = 868860 m

Calculate the volume of the black hole:

###### Problem Details

In 1999, scientists discovered a new class of black holes with masses 100 to 10,000 times the mass of our sun, but occupying less space than our moon. Suppose that one of these black holes has a mass of 1x103 suns and a radius equal to one-half the radius of our moon.

What is the density of the black hole in g/cm3? The radius of our sun is 7.0x105 and it has an average density of 1.4x103 kg/m3. The diameter of the moon is 2.16x103 miles.