Calculate the volume of the solid produced by rotating the region enclosed by about x - 4x – 4y + 4 = 0 and y = 1 about the line y =1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 45E
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Solid of Revolution. Solve the strip and intersection points

Calculate the volume of the solid produced by rotating the region enclosed by about x? - 4x – 4y +
4 = 0 and y = 1 about the line y =1
Transcribed Image Text:Calculate the volume of the solid produced by rotating the region enclosed by about x? - 4x – 4y + 4 = 0 and y = 1 about the line y =1
(Circular Disk):
Horizontal Axis of Rev.:
V = n R(x)]* dx
Vertical Axis of Rev.:
V = 1 fIR(y)]° dy
(Circular ring):
Horizontal Axis of Rev.:
V=1([R(x)]° - [r(x)F}dx
Vertical Axis of Rev.:
V = n(R(y)] - [ro)F}dy
V=n
(Cylindrical Shell):
V= 27 ri dr
Transcribed Image Text:(Circular Disk): Horizontal Axis of Rev.: V = n R(x)]* dx Vertical Axis of Rev.: V = 1 fIR(y)]° dy (Circular ring): Horizontal Axis of Rev.: V=1([R(x)]° - [r(x)F}dx Vertical Axis of Rev.: V = n(R(y)] - [ro)F}dy V=n (Cylindrical Shell): V= 27 ri dr
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