Finding Volumes Using Cylindrical Shells (Shell Method)

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In this video, we discuss how to find the volume of solids of revolution using the Shell Method. The Shell Method can be used when finding volumes of solids of revolution formed by rotating the graph of a function in terms of x around the y-axis, or by rotating the graph of a function in terms of y around the x-axis.

This video was made as a part of my Calculus II series for instruction at Clovis Community College. Any mention of handouts, due dates, or anything else is specific to instruction of my courses and should not be assumed for courses outside of CCC.

  1. Dr. Brandon J. Finney
  2. calculus
  3. integrals
  4. definite integrals
  5. volume
  6. shell method
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CORRECTION: On Example 4, the exponent should be 5/2 after taking the integral. Also, the final answer should have been 64pi/5, I'm not sure how why I accidentally put 15 in the denominator. The final answer should be 128pi/5 with the correct exponent.

DrFinney