3 Fig. 3 shows the curve \(y = x ^ { 4 }\) and the line \(y = 4\).
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{8b807b2e-777b-4c9a-b3dd-890d21d33174-2_509_510_778_774}
\captionsetup{labelformat=empty}
\caption{Fig. 3}
\end{figure}
The finite region enclosed by the curve and the line is rotated through \(180 ^ { \circ }\) about the \(y\)-axis. Find the exact volume of revolution generated.