Tank Volume Calculation Guide — Dairy Silos & Process Vessels

Why Tank Volume Matters

Accurate tank volume calculation is critical for:

• Silo sizing — ensuring adequate raw milk storage capacity
• CIP tank design — calculating required volume for effective circuit cleaning
• Mass balance — tracking milk inventory
• Safety compliance — overfill prevention systems require accurate volume data
• Procurement — specifying vessel capacity in purchase orders

Vertical Cylinder (Dairy Silos)

The most common shape for dairy silos and balance tanks.

Volume (m³) = π × (D/2)² × H
Volume (L) = π × (D/2)² × H × 1,000

Where D = inner diameter (m), H = height of cylinder (m)

Example

Silo: 2.5 m diameter, 8 m cylindrical height
V = π × (2.5/2)² × 8 = π × 1.5625 × 8 = 39.27 m³ = 39,270 L

Cone Bottom Addition

Most dairy silos have a 60° cone bottom. Add the cone volume:

Cone Volume (m³) = (1/3) × π × (D/2)² × H_cone

For a standard 60° cone: H_cone ≈ D/2 × tan(60°) ≈ 0.866 × D/2

Example: 2.5m diameter 60° cone bottom:

• H_cone = 0.866 × 1.25 = 1.08 m
• Cone volume = (1/3) × π × 1.5625 × 1.08 = 1.76 m³ = 1,760 L

Total silo = 39,270 + 1,760 = 41,030 L ≈ 41 kL

Horizontal Cylinder

Used in milk tankers and some process vessels.

Volume (m³) = π × (D/2)² × L

Same formula as vertical — orientation doesn’t change volume!

Rectangular Tank

Used for CIP tanks, brine tanks, and some process baths.

Volume (L) = Length (m) × Width (m) × Height (m) × 1,000

Design Guidelines

CIP Tank Sizing Rule

CIP tank must hold the full volume of the circuit being cleaned:

CIP Tank = 2 × Maximum Circuit Volume + 500 L safety margin

→ Use our Tank Volume Calculator to calculate vessel volume instantly.