# How is the mass of the earth calculated?

##### 2 Answers

See below.

#### Explanation:

We can approximate the mass using the formula for density which relates mass and volume of the object.

Density = mass/Volume

If the Earth's diameter is known and we assume the earth is spherical we can calculate the volume from

Using an average density we could then approximate the mass of the Earth.

With todays modern technology and the use of satellites we can get a more accurate figure for the volume.

#### Explanation:

A formula for approximating mass of the Earth:

r = Earth radius =6378 km,

g = acceleration due to Earth's gravity =0.0098 km/

G - gravitational constant = 6.67 E-20

Units are compatible, in both dimensions and units,.

#So, m =(6378^2)(0.0098)/(6.67 E-20) kg = 5.97 E+24 kg.