Example 8.17. A solid of revolution is formed by rotating about the x-axis, the area between the x-axis, the lines x = 0 and x = 1 and a curve through the points with the following co-ordinates: 0.00 0.25 0.50 0.75 1.00 y: 1.0000 0.9896 0:9589 0.9089 0.8415 Estimate the volume of the solid formed using Simpson's rule.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 2E
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Example 8.17. A solid of revolution is formed by rotating about the x-axis, the area
between the x-axis, the lines x = 0 and x = 1 and a curve through the points with the following
co-ordinates:
x :.
0.00
0.25
0.50
0.75
1.00
y:
1.0000
0.9896
0.9589
0.9089
0.8415
Estimate the volume of the solid formed using Simpson's rule.
Transcribed Image Text:Example 8.17. A solid of revolution is formed by rotating about the x-axis, the area between the x-axis, the lines x = 0 and x = 1 and a curve through the points with the following co-ordinates: x :. 0.00 0.25 0.50 0.75 1.00 y: 1.0000 0.9896 0.9589 0.9089 0.8415 Estimate the volume of the solid formed using Simpson's rule.
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