Region \(A\) is bounded by \({{y}^{2}}=4x\), \(y\)-axis and \(y=3-x\).
Region \(B\) is bounded by \({{y}^{2}}=4x\), \(x\)-axis and \(y=3-x\) in the first quadrant.
Region \(C\) is bounded by \({{y}^{2}}=4x\), \(x\)-axis and \(y=3-x\) in the forth quadrant.
Find
volume of \(A\) rotated through \(4\) right angles about \(x\)-axis;
volume of \(B\) rotated through \(4\) right angles about \(y\)-axis;
volume of \(C\) rotated through \(4\) right angles about \(x\)-axis;
volume of total regions of \(A\), \(B\) and \(C\) rotated through \(4\) right angles about \(y\)-axis.
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