Volume of an ellipsoid

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Well, I have a small problem. I know the general formula for the volume of an ellipsoid. But I have a task to find it with the help of an integral. Can you explain me how to do this?
 

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Curious3141
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-=nobody=- said:
Thank you very much, the information is great.
And can you write the formula like in https://www.physicsforums.com/showpost.php?p=577097&postcount=12" but for an ellipsoid where a, b and c are different.
No, that's for a spheroid (two axes equal). For the general ellipsoid use the triple integral method. Of course the final answer comes out to a simple [tex]V = \frac{4}{3}\pi abc[/tex], it's just the derivation that's involved.
 
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