The region bounded by the curve y = √x, the x-axis, and the line x = 4 is revolved around the x-axis to generate a solid. Find the volume of the solid by the shell method.
The region bounded by the curve y = √x, the x-axis, and the line x = 4 is revolved around the x-axis to generate a solid. Find the volume of the solid by the shell method.
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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The region bounded by the curve y = √x, the x-axis, and the line x = 4 is revolved around the x-axis
to generate a solid. Find the volume of the solid by the shell method. Please see Figure (2).
Transcribed Image Text:Interval of
integration
4
Shell height
x = y²
Shell radius
4
(4,2)
y
Shell height
4-y²
y=√x
(4,2)
Shell
radius
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