(41) Bulk Cylindrical Tank

[Dieter]

(10-15-2018 05:52 PM)Albert Chan Wrote:  To get the 1943 gallon dome, I assumed the author was not stupid.
There must be a reason he measured R of 78" (not calculated 90")

So the 78" have been measured, and not calculated.

(10-15-2018 05:52 PM)Albert Chan Wrote:  If what he was doing is do get a fit with same cross section area, it all make sense.
With R=90", blue dotted line always under-estimated true dome volume.

How do you know if the blue dotted line (R=90) underestimates the true dome volume? How do you know the true dome value in the first place?

But maybe this is another argument for an elliptical dome top. ;-)

(10-15-2018 05:52 PM)Albert Chan Wrote:  With R=78", blue-dotted line will go pass the Dome Top.
This over-estimated area should cancelled out the lower under-estimated part.

Here is another picture:



Red line: elliptical dome top
Blue line: spherical dome top, R=90"
Green line: spherical dome top, R=78"

I don't think that things cancel out here. Even if the liquid level in the dome is limited to v₀. "Mr. Chan, I am not convinced". ;-)

(10-15-2018 05:52 PM)Albert Chan Wrote:  With this revised numbers, the tank should match better to actual shape ...

Since noone knows the actual shape we cannot conclude this.
All we know is that we know nothing. #-)

Dieter