To find the density (D) of the object, we can use the formula:

D = M / (4/3 π P^3)

Given:
M = 6 10^3 kg
P = 6370 km = 6370 10^3 m

Plugging in the values:

D = (6 10^3) / (4/3 π (6370 10^3)^3)
D = 6000 / (4/3 π (6370 * 10^3)^3)

Calculating the volume:

V = 4/3 π (6370 10^3)^3
V ≈ 1.0865 10^21 m^3

Now we can calculate density:

D ≈ 6000 / (4/3 π 1.0865 10^21)
D ≈ 6000 / (4.3107 10^21)
D ≈ 1.395 * 10^-18 kg/m^3

Therefore, the density of the object is approximately 1.395 * 10^-18 kg/m^3.