OCR C3 2009 June — Question 2

Exam BoardOCR
ModuleC3 (Core Mathematics 3)
Year2009
SessionJune
TopicVolumes of Revolution

2
\includegraphics[max width=\textwidth, alt={}, center]{6a690aa5-63a7-4569-afa8-0746814ebab4-2_477_833_1493_657} 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.