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Homework Help: Meters of water are in a cylindrical cumulus cloud

  1. May 22, 2007 #1
    Please help me!!!

    1. The problem statement, all variables and given/known data

    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 km and radius 1 km?

    3. The attempt at a solution

    Vdrop = 4/3 * pi * (10^-6 m)^3 = 4.189(10^-15) m^3

    Vdrop*50 = (4.189(10^-15) m^3)*50=2.094*10^-13m^3---volume of water in a cubic centimeter of lumus cloud
    Vdrop*500 = (4.189(10^-15) m^3)*500=2.094*10^-12m^3---volume of water in a cubic centimeter of lumus cloud

    Vcloud = pi * 3(10^3) m * (1(10^3) m)^2 = (9.42*10^9) m^3

    Lower value = 0.000001 m^3 volume can hold 2.094*10^-13m^3 vol of water
    (9.42*10^9) m^3 volume can hold [(2.094*10^-13m^3)/0.000001 ]*((9.42*10^9) m^3) IS THIS RIGHT????
     
  2. jcsd
  3. May 22, 2007 #2

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    Yes, that's right. Why do you doubt it?
     
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