OCR M4 2004 June — Question 3

Exam BoardOCR
ModuleM4 (Mechanics 4)
Year2004
SessionJune
TopicCentre of Mass 2

3 The region between the curve \(y = x \sqrt { } ( 3 - x )\) and the \(x\)-axis for \(0 \leqslant x \leqslant 3\) is rotated through \(2 \pi\) radians about the \(x\)-axis to form a uniform solid of revolution. Find the \(x\)-coordinate of the centre of mass of this solid.