| Exam Board | SPS |
| Module | SPS FM (SPS FM) |
| Year | 2023 |
| Session | January |
| Topic | Volumes of Revolution |
9. Please remember to show detailed reasoning in your answer
\includegraphics[max width=\textwidth, alt={}, center]{d193321f-0471-48cd-b954-4a7330777491-20_467_817_239_639}
The diagram shows the curve with equation \(y = ( 2 x - 3 ) ^ { 2 }\). The shaded region is bounded by the curve and the lines \(x = 0\) and \(y = 0\). Find the exact volume obtained when the shaded region is rotated completely about the \(x\)-axis.
[0pt]
[BLANK PAGE]