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Mathematics, 17.09.2019 20:30 orozcoalbeert

In this problem, we will find the volume of a solid with circular base of radius 22, for which parallel cross-sections perpendicular to the base are squares. to do this, we will assume that the base is the circle x2+y2=4x2+y2=4, so that the solid lies between planes parallel to the xx-axis at x=2x=2 and x=βˆ’2x=βˆ’2. the cross-sections perpendicular to the xx-axis are then squares whose bases run from the semicircle y=βˆ’4βˆ’x2√y=βˆ’4βˆ’x2 to the semicircle y=4βˆ’x2√y=4βˆ’x2.

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