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December 17, 2018, 07:47:02 pm

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 Author Topic: Calculate volumn of sphere: cut it into many disks  (Read 5687 times) 0 Members and 1 Guest are viewing this topic. Click to toggle author information(expand message area).
Fu-Kwun Hwang
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 « Embed this message on: January 31, 2010, 12:48:08 pm » posted from:Taipei,T\'ai-pei,Taiwan

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 $r_i=\sqrt{R^2-z_i^2}$

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