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## Homework Statement

The density of air in the lower atmosphere decreases exponentially with height: ρ = ρ

_{0}e

^{−z/H}

where ρ0 = 1.3 kg/m3 and H = 10 km. What is the mass of air in a cylindrical column of cross-sectional area 1 m2 and height z, as a function of z? How much mass is contained in such a column 1.0 km high?

## Homework Equations

Volume of a Cylinder= pi*r*h

## The Attempt at a Solution

I think I need to integrate from 0 to z to get the formula for mass. However, I'm not sure what the equation is that I need to integrate. I was thinking it might be something like intg[0,z] pi*r

^{2}e

^{-z/H}ρ

_{0}dz. Still if it that was, I see an issue with integrating e

^{-z/H}. I haven't gone to the second part because I need to know the first.