(41) Bulk Cylindrical Tank

[Thomas Klemm]

(10-11-2018 10:53 PM)Albert Chan Wrote:  The slant bottom equation can also rephrase as fractions of a cylinder volume (radius r, height h)

Let x = (2 h/h0 - 1), (so that x goes from -1 to 1),
Substitute x for equation 25.7, we get:

Vb / (Pi r^2 h / 231) = f(x) = 1/4 + (x*sqrt(1-x*x) + asin(x)) / (2 Pi)

(…)

Update: article volume formula is close, but wrong:
https://arachnoid.com/tank_slope_bottom/
http://www.hpmuseum.org/forum/thread-115...#pid105822

(10-13-2018 04:20 PM)Albert Chan Wrote:  Volume = area * h/2 is just an estimate.

I would call that neither close nor an estimate.
Here's the graph of both functions:



Cheers
Thomas

PS: I scaled your function by the factor \(2\pi\) so that we can compare them.