How to calculate the volume of fermenter and amount of yeast

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How to calculate the volume of fermenter and amount of yeast

For example,
Condition: One conical fermenter, total height 9.4m, diameter 4.2m, conical bottom height 3.6m.
fermenter

Question 1: How many liters of beer can be filled in this fermenter?
Question 2: How many kilograms of yeast can be produced after fermentation?
Question 3: How many kilograms of dry yeast can be produced after fermentation?

Answer to question 1:
Side wall height=9.4m-3.6m=5.8m
Volume of side wall: Vz=πr2h
Vz=3.14x2.1x2.1x5.8=80.31m3
Volume of conical bottom: Vk=1/3πr2h
Vk=1/3x3.14x2.1x2.1x3.6=16.62m3
V=Vz+Vk=80.31+16.62=96.93m3=969.3HL

Answer to question 2:
It can produce 1.5-2.5kg pulpy yeast per hectolitre beer. We assumes 2kg here.
Amount of yeast=969.3x2=1938.6kg

Answer to question 3:
For pulpy yeast (including 80% water), 40% of them is usually used for propagation and 60% is used for producing dry yeast(including 7% water).
Amount of dry yeast=1938.6kgx(1-85%)x60%/(1-7%)=187.6kg

Edited by Vicky
Sales manager in Tiantai Beer Equipment Company
Email: tank@cnbrewery.com




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