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A. For the region bounded by y = 4 − x2 and the x-axis, find the...

A. For the region bounded by y = 4 − x2 and the x-axis, find the volume of solid of revolution when the area is revolved about:
(I) the x-axis,
(ii) the y-axis,
(iii) the line y = 4,
(iv) the line 3x + 2y − 10 = 0.
Use Second Theorem of Pappus.


B. Locate the centroid of the area of the region bounded by y = 4 − x2 and the x-axis.
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