Apply the cylindrical shell method to obtain the volume of the following solids of revolution. 1. Determine the volume of the solid generated when the region bounded by the curve y2 = x3 and the x-axis, is revolved about the x-axis. 2. Find the volume of the solid formed when the region bounded by the curve y2 = x, the line y = 1 and the y-axis, is revolved about the line y = 2. %3D

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Apply the cylindrical shell method to obtain the volume of the following solids of revolution.
1. Determine the volume of the solid generated when the region bounded by the curve y2 = x³
and the x-axis, is revolved about the x-axis.
2. Find the volume of the solid formed when the region bounded by the curve y2 = x, the line
y = 1 and the y-axis, is revolved about the line y = 2.
%3D
%3D
Transcribed Image Text:Apply the cylindrical shell method to obtain the volume of the following solids of revolution. 1. Determine the volume of the solid generated when the region bounded by the curve y2 = x³ and the x-axis, is revolved about the x-axis. 2. Find the volume of the solid formed when the region bounded by the curve y2 = x, the line y = 1 and the y-axis, is revolved about the line y = 2. %3D %3D
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