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To find the Volume of a solid of rotation by adding up a sequence of thin cylindrical shells, consider a region
bounded above by , below by
, on the left by the Line
, and on the right by the
Line
. When the region is rotated about the y-Axis, the resulting Volume is given by
To find the volume of a solid of rotation by adding up a sequence of thin flat disks, consider a region bounded above by , below by
, on the left by the Line
, and on the right by the Line
. When
the region is rotated about the x-Axis, the resulting Volume is
See also Surface of Revolution, Volume