How much water is in a typical cumulus cloud?

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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 droplet and then multiply by the number of droplets per cubic centimeter. The total volume of the cloud can be calculated using the formula for the volume of a cylinder. Finally, the results should provide both the lower and upper limits for the water content based on the range of droplets. Understanding these calculations is essential for determining the water volume in cumulus clouds.
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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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