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\includegraphics[max width=\textwidth, alt={}, center]{dcc8cfc5-7ed3-4e4d-9856-b12e38ac69ef-2_486_727_625_708} The diagram shows part of the curve \(y = \frac { a } { x }\), where \(a\) is a positive constant. Given that the volume obtained when the shaded region is rotated through \(360 ^ { \circ }\) about the \(x\)-axis is \(24 \pi\), find the value of \(a\).