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(c) Suppose a very strange global rainstorm dropped exactly 2 cm of rain on every point on Earth's surface. What volume of water would this be, expressed in cubic meters? Also find the volume in cubic miles, clearly showing the steps you take. (For comparison, the total volume of Earth's oceans is estimated to be 1.3 x 10¹8 m³, or about 3.2 x 10³ mi³.) Note: you do not need to look up the formula for the volume of a sphere to solve this problem, though you can do it that way if you want. (d) The density of water is 1000 kg/m³. What is the mass of this much water in kilograms?

(c) Suppose a very strange global rainstorm dropped exactly 2 cm of rain on every point on Earth's surface. What volume of water would this be, expressed in cubic meters? Also find the volume in cubic miles, clearly showing the steps you take. (For comparison, the total volume of Earth's oceans is estimated to be 1.3 x 10¹8 m³, or about 3.2 x 10³ mi³.) Note: you do not need to look up the formula for the volume of a sphere to solve this problem, though you can do it that way if you want. (d) The density of water is 1000 kg/m³. What is the mass of this much water in kilograms?

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4. The Earth is (approximately) a sphere of radius 6.37 x 10 m. (a) Find the circumference of the Earth in meters. Circle your answer. Then convert it to miles, showing your work and circling your final answer. (b) Find the surface area of the Earth in square meters. Circle your answer. Then convert it to square miles, showing your work and circling your final answer. The surface area of a sphere is 4nr². (c) Suppose a very strange global rainstorm dropped exactly 2 cm of rain on every point on Earth's surface. What volume of water would this be, expressed in cubic meters? Also find the volume in cubic miles, clearly showing the steps you take. (For comparison, the total volume of Earth's oceans is estimated to be 1.3 x 10¹8 m³, or about 3.2 x 10 mi³.) Note: you do not need to look up the formula for the volume of a sphere to solve this problem, though you can do it that way if you want. (d) The density of water is 1000 kg/m³. What is the mass of this much water in kilograms?
Transcribed Image Text:4. The Earth is (approximately) a sphere of radius 6.37 x 10 m. (a) Find the circumference of the Earth in meters. Circle your answer. Then convert it to miles, showing your work and circling your final answer. (b) Find the surface area of the Earth in square meters. Circle your answer. Then convert it to square miles, showing your work and circling your final answer. The surface area of a sphere is 4nr². (c) Suppose a very strange global rainstorm dropped exactly 2 cm of rain on every point on Earth's surface. What volume of water would this be, expressed in cubic meters? Also find the volume in cubic miles, clearly showing the steps you take. (For comparison, the total volume of Earth's oceans is estimated to be 1.3 x 10¹8 m³, or about 3.2 x 10 mi³.) Note: you do not need to look up the formula for the volume of a sphere to solve this problem, though you can do it that way if you want. (d) The density of water is 1000 kg/m³. What is the mass of this much water in kilograms?
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