Applications of Integration - Volume of Revolution

Applications of Integration - Volume of Revolution

TGM Original Questions

Find the volumes of solid formed when region \(R\) is rotated through \(2\pi \) about

  1. \(y\)-axis,

  2. \(x\)-axis,

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Answer:(a) \(\pi\left(2e-\frac83\right)=8.70\text{ units}^3\text{ (3 s.f.)}\) (b) \(\frac\pi6(3e^2-1)=11.1\text{ units}^3\text{ (3 s.f.)}\)

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