Answer:
The density is 4134.37 kg/m³.
Explanation:
Given that,
Diameter = 1948 km
Mass [tex]m=1.6\times10^{22}\ kg[/tex]
We need to calculate the volume of moon
[tex]V= \dfrac{4}{3}\pi\times r^3[/tex]
[tex]V=\dfrac{4}{3}\times\pi\times(974\times10^{3})^3[/tex]
[tex]V=3.870\times10^{18}\ m^3[/tex]
We need to calculate the density
[tex]\rho=\dfrac{m}{V}[/tex]
Where, m = mass
V = volume
Put the value into the formula
[tex]\rho=\dfrac{1.6\times10^{22}}{3.870\times10^{18}}[/tex]
[tex]\rho=4134.37\ kg/m^3[/tex]
Hence, The density is 4134.37 kg/m³.
