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


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.
This entry was posted in Math Explorations. Bookmark the permalink.

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.?

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Google+ photo

You are commenting using your Google+ account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )


Connecting to %s