The mass of Mars,6.40 × 10²³ kg,is about one-tenth that of Earth,and its radius,3395 km,is about half that of Earth.What is the mean density (mass divided by volume)of Mars in kilograms per cubic meter? A)9.76 × 10² kg/m³ B)1.95 × 10³ kg/m³ C)3.90 × 10³ kg/m³ D)7.81 × 10³ kg/m³

Question

Quizplus · Accepted Answer

The formula for mean density is: 
Density = Mass/Volume = (4/3) * pi * (Radius)^3 * Density

Substituting the given values, we get:

Density = (6.40 × 10^23 kg)/[(4/3) * pi * (3395 km)^3]
Converting km to meters, we get:

Density = (6.40 × 10^23 kg)/[(4/3) * pi * (3395000 m)^3]
Simplifying and solving, we get:

Density = 3.90 × 10^13 kg/m^3

Therefore, the best choice is C.

The Mass of Mars,6