Concept explainers
To calculate: The surface area when the parametric curve is revolved about x -axis.
Answer to Problem 59E
The required surface area is 178.56 square units.
Explanation of Solution
Given information:
The surface area of the solid:
The parametric equations:
Calculation:
The given surface area is
The parametric equations are
Differentiate the parametric equations with respect to t .
Substitute 0 for a , 3 for b ,
The value of the above expression can be found by using definite integral calculator.
So,
Hence, the required surface area is 178.56 square units.
Chapter 11 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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