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volume of ellipsoid

Synonym: 
ellipsoid volume
Type of Math Object: 
Result
Major Section: 
Reference
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Mathematics Subject Classification

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Comments

Why do some people (particularly from the medical field) use the following equation to calculate ellipsoid volume?

volume = length × width × thickness × π/6

Volume = Length X width X thickness X pi/6
rather than using Length X width X thickness X 4/3 X pi

> Volume = Length X width X thickness X pi/6
> rather than using Length X width X thickness X 4/3 X pi

That's easy. The second formula would be valid if you were using the half-length, half-width and half-thickness (like the radius of the sphere). If you use the full lengths (like the diameter) then you must divide the answer by 2x2x2=8, so 4/3 becomes 1/6.

Hi ansonkoehler,
See the last Property in http://planetmath.org/encyclopedia/Similar2.html
Regards,
Jussi

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