Another large leak at Fukushima

[mudskipper]

The angle from true vertical would equal the angle from true horizontal. This angle would give you a slice off the top (at the same angle to the container). You would cut a chord through the vessel at this angle and subtract the volume of this piece from the whole.

And how do you calculate the volume?

[suityou01]

It isn't a GCSE-level question when it's tilted (less than 90 deg)

It's as fiddly as hell even in an idealised situation with smooth internal sides. But if the tank has internal fittings or shape variations and suchlike its pretty much completely intractable and they'd be better off resorting to physical modelling/experimentation (preferably before they have to try that with radioactive liquid!)

Mate, seriously, to be off by 100 gallons means you didn't even consider it. I'm sure you could include a margin for error to include internal anomalies.

This really isn't rocket science

[suityou01]

And how do you calculate the volume?

Assuming a true cylinder then the volume of the whole would be PI * r * r * h.

HTH

[mudskipper]

Assuming a true cylinder then the volume of the whole would be PI * r * r * h.

HTH

Yes, but the volume of the angled bit you've chopped off?

[jamesbrown]

It isn't a GCSE-level question when it's tilted (less than 90 deg)

It's as fiddly as hell even in an idealised situation with smooth internal sides. But if the tank has internal fittings or shape variations and suchlike its pretty much completely intractable and they'd be better off resorting to physical modelling/experimentation (preferably before they have to try that with radioactive liquid!)

Surely they can detect the bloody level as it's being filled?

[suityou01]

Yes, but the volume of the angled bit you've chopped off?

Mmm, bit trickier that one

I assume they have google in Japan?

Linky

[suityou01]

Surely they can detect the bloody level as it's being filled?

It's not a brewing bucket

[mudskipper]

Mmm, bit trickier that one

I assume they have google in Japan?

Linky

Not quite GCSE maths then.

[jamesbrown]

It's not a brewing bucket

It's got a manhole in the top, it isn't a space shuttle

[suityou01]

How about this for a totally crazy idea.

Take one identical container. Fill to the brim on a level surface with clean water. Tilt to the same angle as the one in situ. Water gets spilled. Straighten up and measure what's left. Then only fill the one in situ with that amount?