The formulas to calculate the dimensions of a floating-type cylindrical digester are:

1. Inner Diameter (\(D_d\)):

\[ D_d = \left( \frac{4.6 \cdot V_d}{\pi \cdot r} \right)^{\frac{1}{3}} \]

2. Digester Height (\(H_d\)):

\[ H_d = r \cdot D_d \]

Where:

• \(D_d\) is the inner diameter in meters (m).
• \(V_d\) is the effective digester volume in cubic meters (m³).
• \(r\) is the height to diameter ratio.
• \(H_d\) is the digester height in meters (m).