IB skill practice

Use volumes of revolution

Set up and evaluate volume integrals for solids of revolution.

Paper 1, Paper 2 5 marks Difficulty 4

Use volumes of revolution - visual transformation link

The region under \(y=4x\) from \(x=0\) to \(x=4\) is rotated about the x-axis. Enter \(V/\pi\).

Worked practice: result and interpretation

Calculate the requested result first, then choose the interpretation that follows from it.