The Second Proposition of Pappus states that the volume of any solid of revolution is equal to the generating area times the circumference of the circle described by the centroid of the area. a. The circular area described by x² + y² - 10x - 10y + 46 = 0 is revolved about the y-axis. Determine the volume generated using circular disk or cylindrical shell. Resolve the problem by applying the Second Proposition of Pappus. b.

Mathematics For Machine Technology
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Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
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The Second Proposition of Pappus states that the volume of any solid of revolution is equal to thev
generating area times the circumference of the circle described by the centroid of the area.
a. The circular area described by x2 +y2- 10x - 10y + 46 = 0 is revolved about the
y-axis. Determine the volume generated using circular disk or cylindrical shell.
b. Resolve the problem by applying the Second Proposition of Pappus.
%3D
Transcribed Image Text:The Second Proposition of Pappus states that the volume of any solid of revolution is equal to thev generating area times the circumference of the circle described by the centroid of the area. a. The circular area described by x2 +y2- 10x - 10y + 46 = 0 is revolved about the y-axis. Determine the volume generated using circular disk or cylindrical shell. b. Resolve the problem by applying the Second Proposition of Pappus. %3D
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