One cubic centimeter of a cumulus contains 200 water drops, which have a typical

Question

One cubic centimeter of a cumulus contains 200 water drops, which have a typical radius of 10 µm.

(a) How many cubic meters of water are in a cylindrical cumulus cloud of height 3.1 km and radius 1.0 km?

(b) How many 1-liter pop bottles would that water fill?

(c) Water has a density of 1000 kg/m3. How much mass does the water in the cloud have?
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Hint :

(a) Find the volume of the cloud in m3. Convert to cm3 using a chain-link conversion of m to cm, but cube the conversion. That tells you how many cm3 are in the cloud. (c) What is the volume of a drop? What is the mass of a drop? How many drops are in the cloud?

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I need the answers in numerical values please !
One cubic centimeter of a cumulus contains 200 water drops, which have a typical radius of 10 µm.

(a) How many cubic meters of water are in a cylindrical cumulus cloud of height 3.1 km and radius 1.0 km?

(b) How many 1-liter pop bottles would that water fill?

(c) Water has a density of 1000 kg/m3. How much mass does the water in the cloud have?
************************
Hint :

(a) Find the volume of the cloud in m3. Convert to cm3 using a chain-link conversion of m to cm, but cube the conversion. That tells you how many cm3 are in the cloud. (c) What is the volume of a drop? What is the mass of a drop? How many drops are in the cloud?

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I need the answers in numerical values please !

Explanation / Answer

Therefore the volume of the water required = 9738937226 m^3 ......ans now 9738937226 m3 = 9738937226* 10 - 6 / 10 - 6 = 9738937226 * 10 6 cm3    = 9738937226000000 cm3 ...................ans [as 1 * 10 -6 m3 = 1 cm3 ]

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