Question

Assume the Earth is a perfect sphere with a radius 6380 km and a mass of 5.98X10^24 kg, what's is the density in kg/m3

Answer 1

To calculate the density of Earth, you can use the formula:

Density = Mass / Volume

First, let's find the volume of Earth. The formula for the volume of a sphere is:

Volume = (4/3) * π * Radius^3

Plugging in the given radius:

Volume = (4/3) * π * (6380 km)^3

Now, we need to convert the radius from kilometers to meters, as 1 km = 1000 m:

Volume = (4/3) * π * (6380,000 m)^3

Calculate this value.

Next, we can use the formula for density:

Density = Mass / Volume

Density = (5.98X10^24 kg) / (Volume in m^3)

Now, you can calculate the density of Earth.