Explanation Given: Erath has a radius of approximately 6400 kilometers and Mars has a radius of approximately 3400 kilometers. The volume and surface area of Earth and Mars are calculated as given below: From the dimensions, we can find that both the planets are spherical in shape. First, we will find the volume of Earth as follows: Volume of a sphere = 4 3 π r 3 So , the volume of the Earth = 4 3 π r 3 = 4 3 × 22 7 × 6400 × 6400 × 6400 = 23068672 × 10 6 21 = 1.098 × 10 12 So, the volume of the Earth is 1.098×10 12 km 3 . Now, we will find the surface area of the Earth as follows: Surface area of a sphere=4 πr 2 So, the surface area of the Earth = 4 π r 2 = 4 × 3.14 × 6400 × 6400 = 5.14 × 10 8 So, the surface area of the Earth is 5.14×10 8 km 2 . Now, we will calculate the surface area-to-volume ratio of the Earth as follows: Surface area − to − volume ratio of the Earth= surface area volume = 5.14 × 10 8 1.098 × 10 12 = 4...

7th Edition

ISBN: 9780135239919

Author: BENNETT AND BR

Publisher: PEARSON

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Chapter 10.A, Problem 80E

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Compare the size of the planets.

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Chapter 10.A, Problem 79E

Chapter 10.A, Problem 81E

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USING AND UNDERSTANDING MATHEMATICS W/

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