46. Find the volume of the solid produced by rotating the region enclosed line y = -1 that is bounded by (x- 2) = 4(y + 2) and y = -1.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Show the graph and the intersection points. (with rectangular strip)

(Circular Disk):
Horizontal Axis of Rev.:
V = n s[R(x)]° dx
Vertical Axis of Rev.:
V = 1 f"[R(y)]² dy
(Circular ring):
Horizontal Axis of Rev.:
V = n s{[R(x)]² – [r(x)]*}dx
Vertical Axis of Rev.:
V = 1 S{[R(y)]? - [r(y)]}dy
(Cylindrical Shell):
V = 21 rl dr
Transcribed Image Text:(Circular Disk): Horizontal Axis of Rev.: V = n s[R(x)]° dx Vertical Axis of Rev.: V = 1 f"[R(y)]² dy (Circular ring): Horizontal Axis of Rev.: V = n s{[R(x)]² – [r(x)]*}dx Vertical Axis of Rev.: V = 1 S{[R(y)]? - [r(y)]}dy (Cylindrical Shell): V = 21 rl dr
46. Find the volume of the solid produced by rotating the region enclosed line y = -1 that is bounded by
(x- 2) = 4(y + 2) and y = -1.
Transcribed Image Text:46. Find the volume of the solid produced by rotating the region enclosed line y = -1 that is bounded by (x- 2) = 4(y + 2) and y = -1.
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