Posted on **Calculating the volume of Burial Urns**

#1 posted 08-17-2018 03:13 AM |
Lazyman has it right. Though I had to re-read it a few times to understand it. I’ll restate in my own way. Assuming you have a known volume for some size of urn you already have. Call it Vold. The new volume is proportional to the change in height. Vnew is given by. Vnew = Vold x Kh Kh = Height new / Height old If you are changing the diameter (width), the volume changes by the square of the change in diameter. As Lazyman pointed out, you are effectively changing width and depth (2 dimensions). If you only changed one of these dimensions, it would become elliptical and not be circular. Vnew = Vold x Kd^2 = Vold x Kd x Kd (squaring Kd) Kd = Diameter new / Diameter old If you are changing both, it make no difference what order you apply these in. You can just say: Vnew = Vold x Kh x Kd^2 If both the height and width change by the same proportion ( K = Kh = Kd) then you have: Vnew = Vol x K^3 = Vold x K x K x K (K is cubed). Note: These of course are based on the interior dimension, not the exterior. -- Clin |