2.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{826ad8ff-6e5c-4224-88ba-e78b79d1bc21-03_438_661_223_644}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{figure}
The shaded region \(R\) is bounded by the curve with equation \(y = 9 - x ^ { 2 }\), the positive \(x\)-axis and the positive \(y\)-axis, as shown in Figure 1. A uniform solid \(S\) is formed by rotating \(R\) through \(360 ^ { \circ }\) about the \(x\)-axis.
Find the \(x\)-coordinate of the centre of mass of \(S\).