Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 45E
Related questions
Question
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdb672a1f-867b-4a63-8e72-f3bcd079de39%2Fe6606388-ee82-433c-a046-de109903f9a7%2F8y9hl47d_processed.jpeg&w=3840&q=75)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdb672a1f-867b-4a63-8e72-f3bcd079de39%2Fe6606388-ee82-433c-a046-de109903f9a7%2Fymq1cz2o_processed.jpeg&w=3840&q=75)
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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