Meters of water are in a cylindrical cumulus cloud

In summary, a cubic centimeter in a typical cumulus cloud can contain 50 to 500 water drops with a typical radius of 10 µm. Based on this range, a cylindrical cumulus cloud with a height of 3 km and a radius of 1 km can hold a volume of water ranging from 0.000001 m^3 to 0.00001 m^3. This is calculated by multiplying the volume of one water drop with the range of water drops in a cubic centimeter and then multiplying it by the volume of the entire cloud.
  • #1
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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  • #2
Yes, that's right. Why do you doubt it?
 
  • #3


Higher value = 0.000001 m^3 volume can hold 2.094*10^-12m^3 vol of water
(9.42*10^9) m^3 volume can hold [(2.094*10^-12m^3)/0.000001 ]*((9.42*10^9) m^3) IS THIS RIGHT?

First, let's calculate the volume of water in a single cubic centimeter of a cumulus cloud. We can use the given information about the number of water drops and their radius to find that the volume of each drop is approximately 4.189 x 10^-15 cubic meters. Multiplying this by the lower and higher values of 50 and 500, respectively, we get a range of 2.094 x 10^-13 to 2.094 x 10^-12 cubic meters of water in a single cubic centimeter of a cumulus cloud.

Next, we can use the given height and radius of the cloud to calculate its volume. Using the formula for the volume of a cylinder, we find that the cloud has a volume of approximately 9.42 x 10^9 cubic meters.

To determine how many cubic meters of water are in the cloud, we can multiply the volume of a single cubic centimeter of water by the number of cubic centimeters in the cloud's volume. This gives us a range of 1.975 x 10^7 to 1.975 x 10^8 cubic meters of water in the cloud.

I hope this helps! It's important to remember to use the correct units and to double check your calculations to ensure accuracy. Keep up the good work!
 

Related to Meters of water are in a cylindrical cumulus cloud

1. How do you measure the amount of water in a cylindrical cumulus cloud?

The amount of water in a cylindrical cumulus cloud is typically measured in terms of "meters of water", which refers to the height of water that would result if all the water in the cloud were condensed into liquid form. This measurement is obtained using specialized instruments such as a cloud condensation nuclei counter or a cloud droplet spectrometer.

2. What factors affect the amount of water in a cylindrical cumulus cloud?

The amount of water in a cylindrical cumulus cloud is affected by a variety of factors, including the temperature and humidity of the surrounding air, the height and size of the cloud, and the strength of atmospheric updrafts. These factors can vary greatly from cloud to cloud and can also change over time, making it challenging to accurately predict the amount of water in a given cumulus cloud.

3. How does the amount of water in a cylindrical cumulus cloud impact weather patterns?

The amount of water in a cylindrical cumulus cloud can have a significant impact on weather patterns, as it is a key factor in determining the intensity and duration of precipitation events. In general, the more water contained in a cumulus cloud, the more intense and longer-lasting the resulting rain or snowstorm will be. However, other factors such as wind patterns and atmospheric stability also play a role in shaping weather patterns.

4. Can the amount of water in a cylindrical cumulus cloud be accurately measured?

While scientists have developed sophisticated methods for estimating the amount of water in a cylindrical cumulus cloud, it is still a challenging task. The constantly changing nature of clouds, as well as the complex interactions between various atmospheric factors, make it difficult to obtain precise measurements. However, advances in technology and modeling techniques continue to improve our ability to accurately measure the amount of water in cumulus clouds.

5. How does the amount of water in a cylindrical cumulus cloud compare to other types of clouds?

Cumulus clouds are generally characterized by their low-level height and puffy shape, and they are known for producing rain or snow. While the amount of water in a cylindrical cumulus cloud can vary greatly, it is typically higher than that of other types of clouds, such as stratus or cirrus clouds. This is because cumulus clouds are formed by strong updrafts that bring more water vapor into the cloud, resulting in higher levels of water content.

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