Find the coordinates of the centroid of the solid generated when the smaller region bounded by x² + y² - 6y = 0 and y = 6-x is revolved about y = 0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 36E
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Find the coordinates of the centroid of the solid generated when the smaller region bounded by
x² + y² - 6y = 0 and y = 6 x is revolved about y = 0.
Transcribed Image Text:Find the coordinates of the centroid of the solid generated when the smaller region bounded by x² + y² - 6y = 0 and y = 6 x is revolved about y = 0.
Axis of Revolution: x-axis
dx-strip
y = f(x)
* = √√x ₁ av
9=0
Axis of Revolution: y-axis
dy-strip
x = (g(y)
x=0
3= 1 Sve dv
Transcribed Image Text:Axis of Revolution: x-axis dx-strip y = f(x) * = √√x ₁ av 9=0 Axis of Revolution: y-axis dy-strip x = (g(y) x=0 3= 1 Sve dv
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