Shells sometimes work better than washers. The AP Calculus video presents an example of finding the volume of a rotational solid by using the shell method. The method uses the integral of the lateral surface area of a cylinder as opposed to the area of a washer.

Concepts

definite integrals, integrals, volume

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Additional Tags

math

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Instructional Ideas

• Provide instruction on the integral formula to find the volume using shells
• Work less complex problems before using the one in the video

Classroom Considerations

• Individuals need to know how to find the approximate roots for a quadratic formula

• This video is hosted on YouTube

Pros

• The video presents a sketch of the graph to better understand the region
• Reiterates how to find the dimensions needed for the integral

Cons

• None