To show: The area of the surface generated by revolving the curve
Explanation of Solution
Given information:
The areas of cross-sections perpendicular to the y-axis are given for particular values of
Calculation:
Draw the curve
The surface area of the typical slice is
Thus, the surface area can be approximated using the Riemann sum
Now, by taking the limit of the Riemann sum, the surface area can be given as the integral as shown below.
Therefore, the surface are of the solid of revolution is
Chapter 7 Solutions
CALCULUS:GRAPHICAL,...,AP ED.-W/ACCESS
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning