Problem 7: One cubic centimeter (1 cm³) of a typical cumulus cloud contains 50 to 500 water drops, which have a typical radius of 10 μm (1 μm = 1 x 10-6 m). For that range, give the lower value and the higher value, respectively, for the following. 1 km = 1000 m, 1 m = 100 cm, 1 L = 1000 cm³. Take the volume of a water drop to be the volume of a sphere, V = ³. a. How many cubic meters (m³) of water are in a cylindrical cumulus cloud of height 3.0 km and radius 1.0 km? The volume of a cylinder of radius r and height h is V = r² h. Answer: 2000 m³ - 20000 m³ b. How many 1-liter bottles would that water fill? Answer: 2 x 106 - 2 × 107. c. Water has a density of 1000 kg/m³. How much mass does the water in the cloud have? Answer: 2 x 106 kg - 2 x 107 kg.

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Chapter1: Units, Trigonometry. And Vectors
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Problem 7:
One cubic centimeter (1 cm³) of a typical cumulus cloud contains 50 to 500 water drops, which
have a typical radius of 10 μm (1 μm = 1 x 10-6 m). For that range, give the lower value and
the higher value, respectively, for the following. 1 km = 1000 m, 1 m = 100 cm, 1 L = 1000 cm³.
Take the volume of a water drop to be the volume of a sphere, V = ³.
a. How many cubic meters (m³) of water are in a cylindrical cumulus cloud of height 3.0 km
and radius 1.0 km? The volume of a cylinder of radius r and height h is V = nr² h.
Answer: 2000 m³ - 20000 m³
b.
How many 1-liter bottles would that water fill?
Answer: 2 x 106 - 2 × 107.
c. Water has a density of 1000 kg/m³. How much mass does the water in the cloud have?
Answer: 2 x 106 kg - 2 × 107 kg.
Transcribed Image Text:Problem 7: One cubic centimeter (1 cm³) of a typical cumulus cloud contains 50 to 500 water drops, which have a typical radius of 10 μm (1 μm = 1 x 10-6 m). For that range, give the lower value and the higher value, respectively, for the following. 1 km = 1000 m, 1 m = 100 cm, 1 L = 1000 cm³. Take the volume of a water drop to be the volume of a sphere, V = ³. a. How many cubic meters (m³) of water are in a cylindrical cumulus cloud of height 3.0 km and radius 1.0 km? The volume of a cylinder of radius r and height h is V = nr² h. Answer: 2000 m³ - 20000 m³ b. How many 1-liter bottles would that water fill? Answer: 2 x 106 - 2 × 107. c. Water has a density of 1000 kg/m³. How much mass does the water in the cloud have? Answer: 2 x 106 kg - 2 × 107 kg.
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