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"In theory, theory and practice are the same. In practice, they are not." ..."Albert Einstein (1879~1955, Mathematical physicist, Nobel Prize 1921-Physics)"

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 Author Topic: Calculate volumn of sphere: cut it into many disks  (Read 3618 times) 0 Members and 1 Guest are viewing this topic. Click to toggle author information(expand message area).
ahmedelshfie
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 « Embed this message on: May 21, 2010, 01:07:09 am » posted from:,,Brazil

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

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

Embed a running copy of this simulation

Embed a running copy link(show simulation in a popuped window)
Full screen applet or Problem viewing java?Add http://www.phy.ntnu.edu.tw/ to exception site list
Press the Alt key and the left mouse button to drag the applet off the browser and onto the desktop. This work is licensed under a Creative Commons Attribution 2.5 Taiwan License
• Please feel free to post your ideas about how to use the simulation for better teaching and learning.
• Post questions to be asked to help students to think, to explore.
• Upload worksheets as attached files to share with more users.
Let's work together. We can help more users understand physics conceptually and enjoy the fun of learning physics!
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"In theory, theory and practice are the same. In practice, they are not." ..."Albert Einstein (1879~1955, Mathematical physicist, Nobel Prize 1921-Physics)"
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