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Volume of revolution about the x-axis

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In the first video in this series, I show you what we mean by a volume of revolution about the x-axis and how it can be calculated.

Example Question on Volumes of Revolution

Example:

  1. \text{Find the volume of revolution when the curve with equation } \\ \\ y = 2\sin x + \mathrm{cosec} x \\ \\ \text{ is rotated through } 2\pi \text{ radians about the x-axis between the lines } \\ \\ x = \dfrac{\pi }{6} \text{ and } x = \dfrac{\pi }{2}