```
Average density of the Earth = Mass of the Earth / Volume of the Earth
```
Mass of the Earth
The mass of the Earth is approximately 5.972 × 10^24 kilograms (kg). This value can be obtained from various sources, such as NASA or scientific textbooks.
Volume of the Earth
The volume of the Earth can be calculated using the formula for the volume of a sphere:
```
Volume of the Earth = (4/3)πr^3
```
where:
- r is the radius of the Earth, which is approximately 6.371 × 10^6 meters (m)
Substituting the value of the Earth's radius into the formula, we get:
```
Volume of the Earth = (4/3)π × (6.371 × 10^6)^3 m^3
```
Calculating this expression gives us the volume of the Earth as approximately 1.083 × 10^21 m^3.
Average Density of the Earth
Now we can calculate the average density of the Earth using the formula:
```
Average density of the Earth = Mass of the Earth / Volume of the Earth
```
Substituting the values we found earlier, we get:
```
Average density of the Earth = (5.972 × 10^24 kg) / (1.083 × 10^21 m^3)
```
Calculating this division gives us the average density of the Earth as approximately 5,515 kg/m^3.
Therefore, the average density of the Earth is approximately 5,515 kilograms per cubic meter. This value represents the overall density of the Earth, taking into account the contributions of all its layers, including the crust, mantle, and core.
