CAIE P1 2011 June — Question 3

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2011
SessionJune
TopicVolumes of Revolution

3
  1. Sketch the curve \(y = ( x - 2 ) ^ { 2 }\).
  2. The region enclosed by the curve, the \(x\)-axis and the \(y\)-axis is rotated through \(360 ^ { \circ }\) about the \(x\)-axis. Find the volume obtained, giving your answer in terms of \(\pi\).