VOLUMES by SECTION DEMO GALLERY

The following is a small gallery of demos for illustrating the volume of solids by section technique. These animations can be used by instructors in a classroom setting or by students to aid in acquiring a visualization background relating to the steps of volume by section method. Three file formats, gif, mov, and avi are available.

  1. The gif animations should run on most systems and the file sizes are relatively small. 

  2. The mov animations require the QuickTime Player (version 5) which is a free download available by clicking here; these file are also small. (The mov files may not execute properly in old versions of QuickTime.) 

  3. The avi files were saved with full frames uncompressed hence are quite large and thus are only offered in a zipped form. 

  4. The collection of animations in gif and mov format can be downloaded; see the 'bulk' zipped download category at the bottom of the following table.

Note: In the animations we really display only wire frame schematics of the shape of a typical cross section. True cross sections have thickness. The pictures are to illustrate how cross sections would be drawn, rather than showing actual cross sections. This is a graphical convenience in order to generate the animation in a reasonable way.

 

Pyramid with a unit square base and height of 4.

 

click to see gif animation  click to see .mov file click to download zipped avi file
The semicircular cross sections of a solid whose base is in the xy-plane between the  x-axis and the curve y=sqrt(x) over [0, 9]. click to see gif animation  click to see .mov file click to download zipped avi file
The square cross sections of a solid with base an equilateral triangle. click to see gif animation click to see .mov file click to download zipped avi file
The equilateral triangular cross sections of a solid  with base an arch of    y = sin(x) on [0, pi].

click to see gif animation click to see .mov file click to download zipped avi file
The square cross sections of a solid with base a quarter of a circle of radius 1. 
 
click to see gif animation click to see .mov file click to download zipped avi file
The isosceles right triangle cross sections of a solid with base a circle of radius 2. click to see gif animation click to see .mov file click to download zipped avi file
  Zipped 'bulk' downloads ==> click to download all the gif animations click to download all the .mov files  

Constructed for DEMOS with POSITIVE IMPACT, NSF DUE 995230 by David R. Hill, Temple University.

DRH 11/28/2001