| Exam Board | AQA |
| Module | Further Paper 2 (Further Paper 2) |
| Year | 2020 |
| Session | June |
| Topic | Volumes of Revolution |
7 The diagram shows part of the graph of \(y = \cos ^ { - 1 } x\)
The diagram shows part of the graph of \(y = \cos ^ { - 1 } x\)
\includegraphics[max width=\textwidth, alt={}, center]{b4ba8a08-333d-4efc-a0ed-14fef2d99410-07_689_958_358_539}
The finite region enclosed by the graph of \(y = \cos ^ { - 1 } x\), the \(y\)-axis, the \(x\)-axis and the line \(x = 0.8\) is rotated by \(2 \pi\) radians about the \(x\)-axis.
Use Simpson's rule with five ordinates to estimate the volume of the solid formed. Give your answer to four decimal places.