Volumes of Rotation as Double Integrals

Yesterday one of our math tutors, Christian Paterson, who was helping both Calc I and Calc IV students asked me if it was possible to find a volume of rotation using a double integral.  I flippantly said yes.  We independently started working on a typical problem.  It’s a little tricky.  Here is my example.

Volume of Rotation - Double Integral Method

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About jrh794

I am a sixty-five year old math instructor at Southern Oregon University. I taught at the College of the Siskiyous in Weed California for twenty-six years. Prior to that I worked as a computer programmer, carpenter and in various other jobs. I graduated from Rice University in 1967 and have a MS in Operations Research from Stanford. In the past I have hand-built a stone house and taken long solo bicycle tours. Now I ride my mountain bike and play golf for recreation.
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One Response to Volumes of Rotation as Double Integrals

  1. Ravi says:

    Well, thanks for the examples.. But what would be the result if an area is rotated about a line parallel to X-axis…I mean how can I calculate the volume thus formed.?

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