Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » Math Topics » geometry.college.independent

Topic: Volume of a "conoid"
Replies: 1   Last Post: Aug 2, 2010 1:08 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Gaetano

Posts: 2
Registered: 5/15/10
Volume of a "conoid"
Posted: Aug 2, 2010 12:40 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

I am a graduate student in Biomechanics and I am trying to measure the volume of a shape that looks like a cone, but with a base that is not a circle. I am calling this shape a "conoid," but I am not sure if that is the correct geometric term.

The base shape is quite irregular (like an aoemba), but I know the area of the base. I also know the perpendicular height between the apex and the base. The apex is not directly below the base, but actually off to the side a bit. The sides of the conoid surface, as you go from the apex to the perimeter of the base, are straight, so the "slices" of the conoid are the same shape as the base, but different sizes.

I'm not artistic, but I made a schematic which you can see here: http://i704.photobucket.com/albums/ww43/GaetanoL/Conoid/Document2.jpg

Anyway, can someone tell me the formula for this volume? Is it the same as a cone, 1/3*base area*height? Or is it something else?

Thanks,
Guy



Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.