Consider the region in the first quadrant between the parabola y = x², the x-axis, and the line æ = 2. Find the volume of the solid of revolution formed when this region is revolved around the x-axis. The volume is
Consider the region in the first quadrant between the parabola y = x², the x-axis, and the line æ = 2. Find the volume of the solid of revolution formed when this region is revolved around the x-axis. The volume is
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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
Transcribed Image Text:Question 5
Consider the region in the first quadrant between the parabola y = x², the x-axis, and the line
Find the volume of the solid of revolution formed when this region is revolved around the x-axis.
The volume is
-
2.
Expert Solution
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Step 1
Introduction:
When the cross-sectional area is perpendicular to the axis of revolution and the axis of revolution is the boundary of the planar region, the disc method is employed. Using this technique, the volume is determined by rotating the curve about the x- and y-axes.
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