How to Calculate the Volume of the Earth Given Its Radius?

To calculate the volume of the Earth, we can use the formula for the volume of a sphere, which is:

V = ¼ * π * r3

Where:

  • V = volume
  • π = approximately 3.14159
  • r = radius of the sphere

In this case, the radius of the Earth is given as 6370 km. We can plug this value into our volume formula:

V = ¼ * π * (6370 km)3

Now, calculating the cube of the radius:

(6370 km)3 = 256,512,000,000 km3

Now we substitute this back into our volume formula:

V = ¼ * π * 256,512,000,000 km3

Using π ≈ 3.14159:

V ≈ ¼ * 3.14159 * 256,512,000,000 km3

V ≈ 1,075,000,000,000 km3

Therefore, the volume of the Earth is approximately 1.075 billion cubic kilometers. This calculation helps us understand the massive size of our planet!

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