Applications of Integration - Volume of Revolution

Applications of Integration - Volume of Revolution

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) \(\frac{7\pi}{6}=3.67\text{ units}^3\text{ (3 s.f.)}\) (b) \(\frac{188\pi}{15}=39.4\text{ units}^3\text{ (3 s.f.)}\)

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