Since the tower base is square with a side length of 125 m,
Therefore,
[tex](125\ m)^2+ (125\ m)^2=31250 m^2[/tex]
Square root of 31250 = 176.776953 (Diameter) , so this is the diameter of the cylinder to enclose it, and radius, r = 88.38834765 m and height, h = 324 m.
The volume of cylinder,
[tex]=\pi r^2h=3.14(88.38834765 m)^2\times 324 m =7948168.803\ m^3[/tex]
Thus, the mass of the air in the cylinder,
[tex]=1.225\ kg/m^3 \times 7948168.803\ m^3=9736506.78\ kg[/tex]
Hence, the mass of the air in the cylinder is this more than the mass of the tower.
