the base of a solid is the region in the xy plane bounded by the curve
The base of a solid is the region in the xy-plane bounded by
the curves * = - y² + 4y + 96 and x = y² − 22y + 140.
Every cross-section of this solid perpendicular to the y-axis
(and to the xy-plane) is a half-disk with the diameter of the
half-disk sitting in the xy-plane.
The volume of this solid is:
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