AQA Further Paper 2 2020 June — Question 7

Exam BoardAQA
ModuleFurther Paper 2 (Further Paper 2)
Year2020
SessionJune
TopicVolumes 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.