CAIE P1 2012 June — Question 1

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2012
SessionJune
TopicVolumes of Revolution

1
\includegraphics[max width=\textwidth, alt={}, center]{fa90db86-a73a-40db-b416-3c9f470fa207-2_618_533_246_808} The diagram shows the region enclosed by the curve \(y = \frac { 6 } { 2 x - 3 }\), the \(x\)-axis and the lines \(x = 2\) and \(x = 3\). Find, in terms of \(\pi\), the volume obtained when this region is rotated through \(360 ^ { \circ }\) about the \(x\)-axis.