How to accurately calculate the volume of an elliptical head
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The elliptical head is divided horizontally in the middle; how can the volume of the upper half be calculated? . .
I once calculated it when marking scales on the damn thing. Simply put, it’s impossible to calculate accurately. I initially used calculus to do the calculations; after marking the scales, I verified them by checking the amount of material that entered and left the tank each time. There were errors, but it was still usable.
The last edit to this post was made by wanlirn on 2019-9-3 at 10:37. Regarding the integral issue, the derivation process is omitted here; you can derive it yourself – it’s quite simple
For an approximate calculation, use a spherical cap with a value of 0.9Di; to obtain an exact value, simply create a solid in CAD – the LIST data will then show the volume.
Oh, how embarrassing. Draw an entity diagram and make some cuts, and it seems like data will appear.......
It’s always a 3D render, that’s it~:lol
It’s tough for me who can only work in two dimensions; I’d better not try to be precise and just give an approximate estimate instead. . .
CAD has built-in 3D functionality; you can rotate the cross-section 360°, perform queries, or use other small software programs
3D is no problem at all (CAD or any 3D software will do)