Meters of water are in a cylindrical cumulus cloud

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SUMMARY

The discussion focuses on calculating the volume of water contained in a cylindrical cumulus cloud with a height of 3 km and a radius of 1 km. It establishes that a cubic centimeter of cloud contains between 50 to 500 water drops, each with a radius of 10 µm. The volume of a single water drop is calculated as 4.189 x 10^-15 m³, leading to a total cloud volume of approximately 9.42 x 10^9 m³. The lower and upper values for the total water volume in the cloud are derived from these calculations, confirming the methodology as correct.

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  • Basic principles of cloud physics
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This discussion is beneficial for students studying meteorology, atmospheric science enthusiasts, and anyone interested in the quantitative analysis of cloud water content.

bilalbajwa
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Please help me!

Homework Statement



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?

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?
 
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