How much water is in a typical cumulus cloud?

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SUMMARY

A typical cumulus cloud contains between 50 to 500 water drops per cubic centimeter, with each drop having a radius of 10 µm. To calculate the total volume of water in a cylindrical cumulus cloud with a height of 2.7 km and a radius of 1.0 km, one must first determine the volume of a single water drop and then multiply this by the number of drops per cubic centimeter. The volume of the cloud can be calculated using the formula for the volume of a cylinder, which is the area of the base multiplied by the height.

PREREQUISITES
  • Understanding of basic geometry, specifically volume calculations
  • Knowledge of unit conversions, particularly cubic centimeters to cubic meters
  • Familiarity with the properties of spheres and cylinders
  • Basic grasp of water droplet size and distribution in clouds
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  • Calculate the volume of a sphere with a diameter of 10 µm
  • Research the conversion factors between cubic centimeters and cubic meters
  • Learn how to calculate the volume of a cylinder
  • Explore the implications of cloud water content on weather patterns
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Students studying meteorology, physics enthusiasts, and anyone interested in understanding cloud composition and water distribution in the atmosphere.

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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 2.7 km and radius 1.0 km?
give the lower and upper limit

Homework Equations





The Attempt at a Solution



i have converted the units to m cube because that's what the answer wants but i just don't know how to continue
 
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You need to work out the volume of a sphere 10um in diameter - this and the 50-500 gives you the volume of water in 1 cc
Then you need to know how many cubic cm there are in a cubic metre.

The volume of the cloud is the area of circle of radius 1.0km times the height 2.7km, work this out in cubic metres.
 
so do i multiply the volume of the sphere with 50 and 500 separately
 
Yes you would because it says to give the upper and lower limit.
 

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