Enter the bore diameter, stroke length, and number of cylinders into the calculator to determine the displacement volume of an engine. This calculator can also be used to find any of the variables if the others are known.

Displacement Volume Formula

The following formula is used to calculate the displacement volume of an engine.

DV = π * (BD / 2)^2 * SL * NC

Variables:

  • DV is the displacement volume (cubic inches)
  • BD is the bore diameter (inches)
  • SL is the stroke length (inches)
  • NC is the number of cylinders

To calculate the displacement volume, use the formula where the bore diameter is divided by two to find the radius, then square the radius, multiply by pi, the stroke length, and the number of cylinders.

What is Displacement Volume?

Displacement volume is a measure of the total volume of all the cylinders in an internal combustion engine. It is the space that is swept by the pistons as they move between the top and bottom of their stroke. Displacement volume is an important metric for understanding the size and power potential of an engine.

How to Calculate Displacement Volume?

The following steps outline how to calculate the Displacement Volume.


  1. First, measure the bore diameter (BD) of one cylinder in inches.
  2. Next, measure the stroke length (SL) of the engine in inches.
  3. Count the number of cylinders (NC) in the engine.
  4. Use the formula DV = π * (BD / 2)^2 * SL * NC to calculate the Displacement Volume (DV).
  5. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

bore diameter (BD) = 4 inches

stroke length (SL) = 3.5 inches

number of cylinders (NC) = 6