Concept explainers
a.
To state the approximate area.
a.
Answer to Problem 24E
The area is
Explanation of Solution
Given information:
Radius of the ring is r and its thickness is
If the ring is straighten out the circumference of the ring become the length of the rectangle and its thickness becomes breadth of the rectangle.
Therefore,
The area is
b.
To explain why we know the oil passes through the ring at approximately
b.
Answer to Problem 24E
Explanation of Solution
Given information:
Radius of the ring is r and its thickness is
The flow rate of the ring is
And
c.
To evaluate rate of flow of oil through the pipe using definite integral.
c.
Answer to Problem 24E
The flow rate is approximately 1876.6 cubic inches per second.
Explanation of Solution
Given information:
Radius of the ring is 3 inches and its thickness is
Calculation:
Seek the cumulative effect of speed of flow for
The flow rate is
Therefore,
The flow rate is approximately 1876.6 cubic inches per second.
Chapter 8 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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