(41) Bulk Cylindrical Tank

[Albert Chan]

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)

To double check:
f(1) = 1/4 + (Pi/2 + 0) / (2 Pi) = 1/2 (as expected, due to symmetry)
f(0) = 1/4 + (0 + 0) / (2 Pi) = 1/4
f(-1) = 0

For rough estimate, f(x) ~ (x + 1)/4

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