NTNUJAVA Virtual Physics Laboratory
Enjoy the fun of physics with simulations!
Backup site http://enjoy.phy.ntnu.edu.tw/ntnujava/

Easy Java Simulations (2001- ) => misc => Topic started by: ahmedelshfie on May 21, 2010, 01:07:09 am



Title: Calculate volumn of sphere: cut it into many disks
Post by: ahmedelshfie on May 21, 2010, 01:07:09 am
This following applet is Calculate volumn of sphere: cut it into many disks
Created by prof Hwang Modified by Ahmed
Original project Calculate volumn of sphere: cut it into many disks (http://www.phy.ntnu.edu.tw/ntnujava/index.php?topic=1420.0)

The following simulation show how to cut sphere into many cylinders (equal height but different radius).
When the number of cylinder is larger enought, the volume of all cylinders is very close to volume of a sphere.
The slider can be used to change number of cylinders.
V is the volume of the sphere with $R=1$;
V2 is the sum of all the volume of divided cylinders. $\sum \pi r_i^2\,h$ where $h=R/N$ and $r_i=\sqrt{R^2-z_i^2}$