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The base of a solid is the region between the curve, y (p +x) = x2(3p – x), 0 < x < 3p, y > 0 and the X – axis. If the cross-sections perpendicular to the x-axis are equilateral triangles with bases %3D running from the x-axis to the given curve, find the volume of the solid obtained.

The base of a solid is the region between the curve, y (p +x) = x2(3p – x), 0 < x < 3p, y > 0 and the X – axis. If the cross-sections perpendicular to the x-axis are equilateral triangles with bases %3D running from the x-axis to the given curve, find the volume of the solid obtained.

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 want the answer for Q4. Put P=4
Q4 The base of a solid is the region between the curve, y2(p +x) = x2 (3p – x),0 < x < 3p,y > 0 and the X – axis. If the cross-sections perpendicular to the x-axis are equilateral triangles with bases running from the x-axis to the given curve, find the volume of the solid obtained.
Transcribed Image Text:Q4 The base of a solid is the region between the curve, y2(p +x) = x2 (3p – x),0 < x < 3p,y > 0 and the X – axis. If the cross-sections perpendicular to the x-axis are equilateral triangles with bases running from the x-axis to the given curve, find the volume of the solid obtained.
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