\(y=\sqrt{9\left(1-\frac{x^2}{4}\right)}\) for \(0\leq x\leq2\).
Write down the value of \(a\).[1]
The region \(R\) is bounded by the curve, the \(x\)-axis and the \(y\)-axis. \(R\) is rotated through \(360^\circ\) about the \(y\)-axis to form a solid.
Find the volume of this solid.[5]
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