Final answer:
The density of asteroid Eros is calculated as approximately 2361 kg/m³, assuming it is a sphere with a diameter of 18 km.
Step-by-step explanation:
To find the density of the asteroid Eros, with a mass of 7.2×1015 kg and a diameter of 18 km, we can use the formula for density which is mass divided by volume. First, we assume Eros is roughly spherical and use the formula for the volume of a sphere (V = 4/3πr3) with the radius being half of the diameter. Using the given diameter of Eros of 18 km (18000 m), we calculate the radius as 9000 m.
Volume calculation:
V = 4/3π(9000 m)3 ≈ 3.05×1012 m3
Density calculation:
Density = Mass / Volume = 7.2×1015 kg / 3.05×1012 m3 ≈ 2361 kg/m3
Therefore, the density of Eros is approximately 2361 kg/m3, which is about the same as that of Earth's crust.