Approximating Volumes by Summation
Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
The volume of a solid shape can be approximated by slicing it into layers and summing the volumes of all of the layers. The limit of this process is an integral that yields the volume of the solid. This is an analogue of a Riemann summation of the area under a curve.
Contributed by: Jason Harris (March 2011)
Open content licensed under CC BY-NC-SA
A Steinmetz solid, or a bicylinder, is the shape formed when two cylinders intersect at right angles.
"Approximating Volumes by Summation"
Wolfram Demonstrations Project
Published: March 7 2011