I found the area for half the parabolic slice then integrated from 0-->pi/2 then multiplied the volume by 4 due to the symmetry that would occur, to find the total volume.
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Let R(x0,y0), P(x1,y1) and Q(x2,y2) be points on the circle x2+y2+2gx+2fy+c=0
i) If d is the distance...