The base of a solid is the region between the curve, y (p + x) = x² (3p - x),0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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
running from the x-axis to the given curve, find the volume of the solid obtained.
Transcribed Image Text: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 running from the x-axis to the given curve, find the volume of the solid obtained.
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