(41) Bulk Cylindrical Tank

[Dieter]

(10-14-2018 10:50 PM)Albert Chan Wrote:  Let d be shortest distance from sphere center to dome bottom (call this hatch depth ?)

"Hatch depth" ?!? Where do you see a hatch here ?-)

(10-14-2018 10:50 PM)Albert Chan Wrote:  Example, same tank, but assumed Spherical Segment Dome Top:
Using above formula, with V_dome = 1943 gallon, calculated d = 21.78" (R = 75.22")

1. Where do you get the 1943 gallons from? Why is this the volume of the dome top section?

2. If the dome top section is actually spherical there is exactly one solution: the radius R must be 90".
Take a look at this sketch which should be quite exactly to scale:



Red solid line: elliptical dome top
Blue dotted line: spherical dome top

Now imagine a radius of 75,22". That's not much more than the tank radius r, so the dome top section would be much higher than v₀ = 36" (53,4", to be precise). I do not think this makes any sense. But maybe I am misunderstanding your point: how would you say the 75,22" dome top would look like? A sketch would be helpful.

Dieter