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) \(\frac{34\pi}{3}=35.6\text{ units}^3\text{ (3 s.f.)}\) (b) \(\frac\pi{15}(200\sqrt5-188)=54.3\text{ units}^3\text{ (3 s.f.)}\)

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