# Volume of a transition - Sq to Rnd

Does anyone know how to calculate the volume of a Square to Round transition on a commom central axis?
Square base = 1800mm x 1800mm
Round Top = 2900mm
Vetical Height = 1950mm
Any help on acheiving this would be appreciated
Cheers
FG
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Flash -
My calculus is too rusty to do this with math, so here is the easy way:
With AutoCAD 2007 or later, draw the rectangle and the circle in plan, move the circle up the Z-axis the required distance, and then use LOFT with the "Cross sections only" option to create the solid. From there, use MASSPROP to determine its volume.
Assuming you meant the 2900 to be the diameter of the round top, I got a volume of 9454151296.13419.
Note: this is NOT equal to the 9599068590 you get by averaging the areas of the two shapes and multiplying by the height. It's only about 1% off, though, if that is close enough for your needs or if your version of AutoCAD does not have LOFT.
-Bill
==============Flash Gordon wrote:

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Hey....many thanks for that.....
yep within 2% would be adequate...
Just wish it could also be proved by math/calculations.
Cheers
FG

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