Math CentralQuandaries & Queries


Question from Barbara:

I need to calculate the volume of an ellipsoid with the dimensions:

102.5 mm x 57 mm x 57 mm = L x W x H

I am using the formula V = 4/3 pi (.5L)(.5W)(.5H), but it isn't giving me a reasonable

Hi Barbara,

The volume of an ellipsoid is as you state 4/3 π (L/2) × (W/2) × (H/2) which in your case is

4/3 π (102.5/2) × (57/2) × (57/2)
= 4/3 π (51.25) × (28.5) × (28.5)
= 174,370.2 cubic millimeters.

Is that what you got?


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