10182
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Volumes of Solids of Revolution: Shell Method
The volume of a solid of revolution can be approximated using the volumes of concentric cylindrical shells. Choose between rotating around the
axis or the
axis. Move the sliders to change the space between cylinders and to see the solid emerge.
Contributed by:
Helen Papadopoulos
THINGS TO TRY
Rotate and Zoom in 3D
SNAPSHOTS
RELATED LINKS
Solid of Revolution
(
Wolfram
MathWorld
)
Volume
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Volumes of Solids of Revolution: Shell Method
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/VolumesOfSolidsOfRevolutionShellMethod/
Contributed by:
Helen Papadopoulos
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
Volumes of Revolution Using Cylindrical Shells
Stephen Wilkerson (Towson University)
Solids of Revolution
Abby Brown and MathematiClub (Torrey Pines High School)
Volumes Using the Disc Method
Stephen Wilkerson (Towson University)
Solids of Known Cross Section
Abby Brown (Torrey Pines High School)
Double Integral for Volume
Anton Antonov
Solid of Revolution
Lyle Cochran
Theorems of Pappus on Surfaces of Revolution
S. M. Blinder
Approximating the Volume of a Sphere Using Cylindrical Slices
Tom De Vries
The Disk Method
Lyle Cochran
B-Spline Surfaces
Jeff Bryant
Related Topics
3D Graphics
Calculus
Integrals
Surfaces
Volume
High School Calculus and Analytic Geometry
High School Mathematics
Browse all topics
Related Curriculum Standards
US Common Core State Standards, Mathematics
HSG-GMD.B.4
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+