6 Fig. 6 shows the region enclosed by the curve \(y = \left( 1 + 2 x ^ { 2 } \right) ^ { \frac { 1 } { 3 } }\) and the line \(y = 2\).
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{413a0c52-b506-46d4-b1e4-fe13466abcc1-03_426_673_340_678}
\captionsetup{labelformat=empty}
\caption{Fig. 6}
\end{figure}
This region is rotated about the \(y\)-axis. Find the volume of revolution formed, giving your answer as a multiple of \(\pi\).
\section*{Question 7 begins on page 4.}