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have to find the volume of the solid generated when the region enclosed by the lines y = 2x, y = 2 and x = 0 is revolved around the y-axis using cylindrical shells. Is my calculation correct?

have to find the volume of the solid generated when the region enclosed by the lines y = 2x, y = 2 and x = 0 is revolved around the y-axis using cylindrical shells. Is my calculation correct?

Advanced Engineering Mathematics
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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I have to find the volume of the solid generated when the region enclosed by the lines y = 2x, y = 2 and x = 0 is revolved around the y-axis using cylindrical shells. Is my calculation correct?

16:16 Mon 31 Oct II - Х =2x улг USELAT дег x = 0 a=0, b=1 2 6 + 2.1.x.f(x)dx ^20-x-(2-2x)dx 27. до 2х-2х² ал хз = 40-S0x-x³dx\ - 47. [2-x33 40. [6-03 41 то их лисENT Z + DINCAD ч усг во y=-2 ·3 +C -2 1 Y Ь 4 . *++++ 2 3 x2=h 4 Х 16% 0 + : 14 / 15 / Ө
Transcribed Image Text:16:16 Mon 31 Oct II - Х =2x улг USELAT дег x = 0 a=0, b=1 2 6 + 2.1.x.f(x)dx ^20-x-(2-2x)dx 27. до 2х-2х² ал хз = 40-S0x-x³dx\ - 47. [2-x33 40. [6-03 41 то их лисENT Z + DINCAD ч усг во y=-2 ·3 +C -2 1 Y Ь 4 . *++++ 2 3 x2=h 4 Х 16% 0 + : 14 / 15 / Ө
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