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 and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)

6th Edition

ISBN: 9780321914620

Author: Jeffrey O. Bennett, William L. Briggs

Publisher: PEARSON

See similar textbooks

Concept explainers

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experime…

Videos

Question

Chapter 10.A, Problem 80E

To determine

Compare the size of the planets.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 10.A, Problem 79E

Chapter 10.A, Problem 81E

Students have asked these similar questions

answer number 4

3. Bayesian Inference – Updating Beliefs A medical test for a rare disease has the following characteristics: Sensitivity (true positive rate): 99% Specificity (true negative rate): 98% The disease occurs in 0.5% of the population. A patient receives a positive test result. Questions: a) Define the relevant events and use Bayes’ Theorem to compute the probability that the patient actually has the disease.b) Explain why the result might seem counterintuitive, despite the high sensitivity and specificity.c) Discuss how prior probabilities influence posterior beliefs in Bayesian inference.d) Suppose a second, independent test with the same accuracy is conducted and is also positive. Update the probability that the patient has the disease.

answer number 6

Chapter 10 Solutions

Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th 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...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.