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: Graphical, Numerical, Algebraic: Solutions Manual
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