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. Two file formats, gif and mov 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 or later) which is a free download available by clicking here; these files are also small. (The mov files may not execute properly in older versions of QuickTime.) 

  3. 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 some of the animations we display only wire frame schematics of the shape of a typical cross section. In corresponding animations we show the true cross sections which have thickness. Thus there is a choice of the way to view cross sections. Use the style you prefer.

 

Pyramid with a unit square base and
height of 4.

 

click to see wire frame gif animation  click to see wire frame .mov file
 

click to see sliced gif animation click to see sliced mov 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 wire frame gif animation click to see wire frame mov file
 

click to see sliced gif animation click to see sliced mov file
The square cross sections of a solid with base an equilateral triangle.

click to see wire frame gif animation click to see wire frame mov file
 

click to see sliced gif animation click to see sliced mov file
The equilateral triangular cross sections of a solid  with base an arch of y = sin(x) on
[0, pi].

click to see wire frame gif animation click to see wire frame mov file
  click to see sliced gif animation click to see sliced mov file
The square cross sections of a solid with base a quarter of a circle of radius 1. 
 

click to see wire frame gif animation click to see wire frame mov file
 

click to see sliced gif animation click to see sliced mov file
The isosceles right triangle cross sections of a solid with base a circle of radius 2.

click to see wire frame gif animation click to see wire frame mov file
 

click to see sliced gif animation click to see sliced mov 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 9952306  

by David R. Hill, Temple University and Lila F. Roberts, Clayton State University.

DRH 2/24/02           last updated 9/15/2010 DRH

Since 3/1/2002