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.
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
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 51AR
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