Concept explainers
(a).
To find: The approximate surface area of the Earth as scientific notation.
(a).
Answer to Problem 66PPE
The approximate surface area of the Earth is
Explanation of Solution
Given information: The radius of the Earth is
Calculation:
The formula for the surface area of a sphere with radius r is given by,
Substitute
The property of raising a product to a power for any positive number
To determine the surface area, apply the above property.
Apply a power of a power property of exponents to further simplify.
Therefore, the approximate surface area of the Earth in scientific notation is
(b).
To find: The area of Earth’s surface covered by ocean water in square meters.
(b).
Answer to Problem 66PPE
The area of Earth’s surface covered by ocean water in square meters is
Explanation of Solution
Given information: The area of Earth surface covered by ocean in per cent is 70%.
Calculation:
As calculated in part (a), the approximate surface area of the Earth is
The area of Ocean water can be calculated as:
Substitute
Therefore, the area of Earth’s surface covered by ocean water in square meters is
(c).
To find: The estimated volume of ocean water in Earth’s surface.
(c).
Answer to Problem 66PPE
The estimated volume of ocean water in Earth’s surface is
Explanation of Solution
Given information: The average depth of ocean is 3790 m.
Calculation:
As calculated in part (b), the area of Earth’s surface covered by ocean water in square meters is
The formula to determine volume of ocean water in Earth’s surface is:
Substitute
Therefore, the estimated volume of ocean water in Earth’s surface is
Chapter 7 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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