A cubic centimeter in a typical cumulus cloud contains 50 to 500 water drops, which have a typical radius of 10 µm. For that range, give the lower value and the higher value, respectively, for the following.

(a) How many cubic meters of water are in a cylindrical cumulus cloud of height 3.6 km and radius 1.1 km?

Vdrop = 4/3 * pi * (10^-6 m)^3 = 4.18879(10^-15) m^3

Vdrop*50 = 2.0944(10^-13) m^3/(10^-2) m^3 = 2.0944(10^-11)

Vdrop*500 = 2.0944(10^-12) m^3/(10^-2) m^3 = 2.0944(10^-10)

Vcloud = pi * 3.6(10^3) m * (1.1(10^3) m)^2 = 1.36848(10^10) m^3

Lower value = 2.0944(10^-11) * 1.36848(10^10) m^3 = 0.286614 m^3

Higher value = 2.0944(10^-10) * 1.36848(10^10) m^3 = 2.86614 m^3