10176
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Cavalieri's Principle
This Demonstration illustrates one version of Cavalieri's principle. This result from calculus states that if two solids of equal altitude have identical cross sectional areas at each height, then the solids have the same volume.
Contributed by:
Lyle Cochran
THINGS TO TRY
Rotate and Zoom in 3D
Slider Zoom
Automatic Animation
SNAPSHOTS
RELATED LINKS
Cavalieri's Principle
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Cavalieri's Principle
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/CavalierisPrinciple/
Contributed by:
Lyle Cochran
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
The Disk Method
Lyle Cochran
Solids of Known Cross Section
Abby Brown (Torrey Pines High School)
Solids of Revolution
Abby Brown and MathematiClub (Torrey Pines High School)
Intersection of Two Cylinders
Eric Schulz
Volumes of Revolution Using Cylindrical Shells
Stephen Wilkerson (Towson University)
Volumes Using the Disc Method
Stephen Wilkerson (Towson University)
Volumes of Solids of Revolution: Shell Method
Helen Papadopoulos
Double Integral for Volume
Anton Antonov
Solid of Revolution
Lyle Cochran
Approximating Volumes by Summation
Jason Harris
Related Topics
Integrals
Volume
High School Calculus and Analytic Geometry
High School Mathematics
Browse all topics
Related Curriculum Standards
US Common Core State Standards, Mathematics
HSG-GMD.A.1
HSG-GMD.A.2
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+