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Find the volume of the solid formed when the region bounded by the parabola y 4-x 2 and the line y 1 is rotated about the y axis?
Nguyenphucnguyen9003...
Assuming that is y = 4 - x2 → x2 = 4 - y
Crosses y axis (x = 0) at y = 4
volume = π∫x2 dy
= π 1∫4 4 - y dy
= π[4y - y2/2]14
= π[(16 - 16/2) - (4 - 1/2)]
= 9/2 π
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