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...

Using & Understanding Mathematics, Books a la Carte edition (7th Edition)

7th Edition

ISBN: 9780134716015

Author: Jeffrey O. Bennett, William L. Briggs

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

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Using & Understanding Mathematics, Books a la Carte edition (7th Edition)

Ch. 10.A - Prob. 1QQ Ch. 10.A - Prob. 2QQ Ch. 10.A - An acute angle is a. less than 90°. b. exactly...Ch. 10.A - 4. A regular polygon always has a. four sides. b....Ch. 10.A - 5. A right triangle always has three equal-length...Ch. 10.A - 6. The circumference of a circle of radius r...Ch. 10.A - The volume of a sphere of radius r is a. \[\pi...Ch. 10.A - Prob. 8QQ Ch. 10.A - If you triple the radius of a sphere, the volume...Ch. 10.A - Suppose you cut a large stone block into four...

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