Lesson: Volumes of Solids of Revolution Using the Shell Method | Nagwa Lesson: Volumes of Solids of Revolution Using the Shell Method | Nagwa

Lesson: Volumes of Solids of Revolution Using the Shell Method Mathematics

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In this lesson, we will learn how to find the volume of a solid generated by revolving an area around a vertical or horizontal axis using the shell method.

Lesson Plan

Students will be able to

  • recognize when it will be easier to find a volume using the shell method (integration is performed perpendicular to the axis of revolution) compared to the disk method (integration is performed parallel to the axis of revolution),
  • find the volume of a solid generated by revolving an area around a vertical or horizontal axis using the shell method.

Lesson Playlist

  • Finding the Volume of the Solid Generated by the Revolution of the Region Bounded by a Parabola and a Line around the 𝑥-Axis
    08:51

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