Mathematics 9709/12 — May/June 2012

The diagram shows the region enclosed by the curve $y = \frac{6}{2x - 3}$, 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.