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Volume integral over a region

Posted 9 years ago

Hey there!

I know a lot of basics in mathematica, but with the following equations I came to my limits: enter image description here

Is there any good way to compute this in mathematica?

Thank you in advance!

POSTED BY: Marcel Schwegler
4 Replies

Thank you guys! Never thought of such an amazing help! So my problem is solved ;)

POSTED BY: Marcel Schwegler

... deleted!

POSTED BY: Henrik Schachner
POSTED BY: Udo Krause

The volume of an ellipsoid is equal to (4/3)Pi a b c. Cutting the ellipsoid in half by taking z>=0, volume reduces to (2/3)Pi a b c. Condition on volume then implies (2/3)Pi a b c <= 1, which depends on values of a, b, c.

POSTED BY: S M Blinder
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