OCR C3 — Question 1

Exam BoardOCR
ModuleC3 (Core Mathematics 3)
TopicVolumes of Revolution

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