Question

"the mass of mars, 6.40 × 1023 kg, is about one-tenth that of the earth, and its radius, 3395 km, is about half that of earth. what is the mean density of mars in kg/m3? "

Answer 1

. Density is a value for mass, such as kg, divided by a value for volume, such as m3. Density is a physical property of a substance that represents the mass of that substance per unit volume. To calculate the density of mars, we need its mass and its volume. We calculate as follows:

mass of Mars =   6.40 × 10^23 kg
volume of Mars = 4πr³ / 3  (assuming the planet is a sphere)
                               r = 3395 km = 3395000 m
                          =  4π(3395000 m)³ / 3 
                          = 1.64 x 10^20 m^3

Density = mass / volume 
Density =  6.40 × 10^23 kg / 1.64 x 10^20 m^3
Density = 3904.56 kg/m^3

Therefore, the density of the planet Mars is 3904.56 kg/m^3.