Concept explainers
a.
To find: the exact volume of rubber.
a.
Answer to Problem 28WE
The volume of hollow sphere is
Explanation of Solution
Given: A hollow rubber ball with inner and outer radius
Calculation:
Calculate the exact volume of hollow sphere.
Therefore, the volume of hollow sphere is
b.
To find: the volume of rubber by given formula.
b.
Answer to Problem 28WE
The volume of rubber by given formula is
Explanation of Solution
Given:
Formula to calculate the volume of rubber:
Calculation:
Inner surface area of hollow sphere:
Thickness of rubber:
Volume of hollow rubber:
Comparing the calculation of volume of hollow sphere:
Therefore, the volume of rubber by given formula is
c.
To state: that approximation method is better for thick layer of ball or thin layer of ball.
c.
Answer to Problem 28WE
The approximation method is better for thin layer of ball.
Explanation of Solution
Volume of rubber ball calculated by exact formula
Volume of rubber ball calculated by approximation method
From the above calculated results, it can be concluded that approximation method is better for thin layer of ball.
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