(41) Bulk Cylindrical Tank

[Dieter]

(10-12-2018 02:46 PM)Geoff Wrote:  However the roof volume will be wrong since the roof geometry specified is inconsistent.

Vo = R - sqrt(R² - r²) = 78 - sqrt(78² - 72²) = 48 inches

Yes, the given values are inconsistent.
I did it the other way round and calculated the radius R = (r²+Vo²) / (2·Vo) = 90 inches.

(10-12-2018 02:46 PM)Geoff Wrote:  The paper states and uses Vo = 36", so the roof volumes will be wrong. Measurement 4 in Table 25-3 should be 13,321 gallons, and measurement 5 should be 13,521 gallons.

For the record: with R = 90" the results are 13318 and 13509 gallons.
Assuming an elliptical dome top yields 13324 and 13532 gallons.

So for this case the results are quite close. Since the exact shape of the dome top is not defined the uncertainty of the result should be in the same order as the variation in the calculated volumes.

Dieter