What is the volume of the troposphere?
Volume of the Earth. 4 x ¶(6378.15)3 /3 = 10.8687 x 1020 m3
Radius from the centre of the Earth to the top of the troposphere:
= 6378.15 + 16 = 6394.15 km
Volume to the top of the troposphere.
4 x ¶(6394.15)3 /3 = 10.9506 x 1020 m3
Volume of the troposphere.
[10.9506 - 10.8687 ] x1020 m3 = 8.14 x 1018 m3
Assuming the density of the air is constant throughout the volume (the density is not constant as it decreases rapidly with height; it is 1.225 kg/m3 on the Earth's surface and 0.1654 kg/m3 at the top of the troposphere, 16 km):
Pretending that the earth and its atmosphere are perfectly spherical and not elliptical, we can calculate the approximate volume of the stratosphere. The radius of the Earth is roughly 6,378.1 km. The troposphere, which lies below the stratosphere is around 18 km at its highest height. The stratosphere extends to around 42 km above the troposphere. Finding the difference between the volume of the earth including the atmosphere and the earth up to the troposphere…