Concept explainers
To calculate: The volume swept out by revolving the region about the x -axis.
Answer to Problem 40E
The required volume is
Explanation of Solution
Calculation:
The parametric equations of a Cycloid is
The graph of the Cycloid is shown below:
Differentiate the above equations with respect to t .
And,
The volume swept out by the bounded region about the x -axis can be written as:
Simplify the above expression further.
Hence, the required volume is
Chapter 11 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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