# Hydraulic Cylinder - Volume Displacement

## Volumetric displacement of a hydraulic cylinder

The volume displacement of a hydraulic cylinder can be calculated as

q = A s / 231                                     (1)

where

q = volume displacement (gal)

A = cylinder area (in2)

s = cylinder stroke (in)

• 1 in (inch) = 25.4 mm = 2.54 cm = 0.0254 m = 0.08333 ft
• 1 in2 = 6.452 cm2 = 6.452x10-4 m2 = 6.944x10-3 ft2
• 1 gal (US) = 3.785x10-3 m3 = 3.785 dm3 (liter) = 0.13368 ft3

### Example - Hydraulic Cylinder and Volumetric Displacement

A 4" cylinder with a cylinder area 12.57 in2 makes a 30" stroke. The cubic displacement can be calculated as

q = (12.57 in2) (30 in) / 231

= 1.63 gal

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