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The diagram shows part of the curve \(y = 4 \sqrt { } x - x\). The curve has a maximum point at \(M\) and meets the \(x\)-axis at \(O\) and \(A\).
- Find the coordinates of \(A\) and \(M\).
- Find the volume obtained when the shaded region is rotated through \(360 ^ { \circ }\) about the \(x\)-axis, giving your answer in terms of \(\pi\).