Cylinder Volume Calculator
Calculate single cylinder volume from bore and stroke
Cylinder Dimensions
Formula
V = (π/4) × Bore² × StrokeCylinder Volume
Volume Conversions
Cylinder Geometry
What Is Cylinder Volume?
The cylinder volume calculator determines the swept volume of a single engine cylinder from two core dimensions: the bore (the cylinder's internal diameter) and the stroke (the distance the piston travels from bottom dead center to top dead center). The result is the displacement of one cylinder, expressed in cubic inches, cubic centimeters (cc), and liters so it can be compared against any engine specification you encounter.
Single cylinder volume is the building block of total engine displacement. When engine builders, machinists, and gearheads talk about a "350" or a "2.0-liter four," that figure is simply the volume of one cylinder multiplied by the number of cylinders. Knowing the per-cylinder number lets you reason about combustion chamber sizing, compression ratio, piston selection, and whether a planned bore or stroke change will land you in the displacement class you want. This cylinder cc calculator removes the manual unit juggling so you can focus on the engine math.
Because the calculation depends only on geometry, it works equally well for a motorcycle single, a small-block V8, a diesel, or an industrial pump cylinder. Enter the bore and stroke in inches or millimeters, and the tool handles the conversion to every common displacement unit automatically.
The Cylinder Volume Formula
A cylinder is a simple geometric solid, so its volume follows the standard formula for the area of a circle multiplied by its height. In engine terms, the circle is the bore cross-section and the height is the stroke. The bore stroke volume formula used by this calculator is shown below.
The tool first works internally in inches. If you select millimeters, each dimension is divided by 25.4 to convert to inches before the volume is computed. The cubic-inch result is then multiplied by 16.387064 to produce cubic centimeters, and the cc figure is divided by 1000 to produce liters. This exact chain mirrors the page's JavaScript, so the displayed numbers always agree with the formula you see here.
The cross-sectional area of the bore is also reported as A = π × r², where r is half the bore. This is the piston-crown area that combustion pressure acts on, which matters for force and torque discussions elsewhere in your engine analysis.
Single Cylinder Volume
Where:
- V= Volume of one cylinder (cubic inches before unit conversion)
- Bore= Cylinder internal diameter (inches; mm input is divided by 25.4 first)
- Stroke= Piston travel distance from BDC to TDC (inches)
- π/4= Constant ≈ 0.785398 that converts diameter-squared into circular area
Cubic Inches, CC, and Liters
Engine displacement is quoted in different units around the world, and this single cylinder volume calculator reports all three so nothing is lost in translation. Cubic inches (ci) dominate American performance and classic-car culture, cubic centimeters (cc) are standard for motorcycles and many import engines, and liters are the marketing-friendly figure printed on most modern engine covers.
The conversions are exact and unambiguous:
| From | To | Multiply By |
|---|---|---|
| Cubic inches | Cubic centimeters (cc) | 16.387064 |
| Cubic centimeters (cc) | Liters | 0.001 (divide by 1000) |
| Millimeters | Inches | 0.03937 (divide by 25.4) |
For perspective, a single cylinder displacing about 716 cc is roughly 0.72 liter. Multiply that by eight cylinders and you arrive at the classic 5.7-liter (350 cubic inch) small-block, which is why per-cylinder volume is such a useful intermediate number when planning a build.
How Bore and Stroke Shape an Engine
Two engines can share the same per-cylinder volume yet behave very differently depending on how that volume is split between bore and stroke. The engine cylinder calculator makes it easy to experiment with these trade-offs because volume scales with the square of the bore but only linearly with the stroke.
- Oversquare (short-stroke): Bore is larger than stroke. Lower piston speed at a given rpm allows higher redlines and favors top-end power. Common in sport bikes and high-revving performance engines.
- Undersquare (long-stroke): Stroke exceeds bore. Produces strong low-end torque and is typical of trucks, diesels, and traditional American V8s.
- Square: Bore equals stroke, a balanced compromise that many modern engines target for a broad powerband.
Because doubling the bore quadruples the volume while doubling the stroke only doubles it, boring a block is often the most space-efficient way to add displacement. However, bore is limited by cylinder-wall thickness and head sealing, so stroker kits that lengthen the crankshaft throw are a popular alternative. Use this calculator to see exactly how much volume each change adds before you commit to machining.
How to Use the Cylinder Volume Calculator
Using the cylinder cc calculator takes only a few seconds:
- Select your measurement unit — inches or millimeters — to match the spec sheet or measurement tool you are using.
- Enter the bore, the internal diameter of the cylinder. Measure across the widest point of the bore, ideally with a bore gauge or inside micrometer.
- Enter the stroke, the full piston travel. This equals twice the crankshaft throw (the offset of the rod journal from the main centerline).
The calculator instantly returns the single cylinder volume in cubic centimeters, cubic inches, and liters, along with the bore cross-sectional area and both inch and millimeter readouts of your dimensions. Round values are used in the displayed conversions, but the underlying math carries full precision, so results match hand calculations to within rounding.
To find total engine displacement, simply multiply the single cylinder volume by the cylinder count. For a more complete build workflow, pair this tool with a compression ratio calculator and a combustion chamber calculator to dial in the static compression you want.
Worked Examples
Small-Block V8 Cylinder (Inches)
Problem:
A classic small-block has a 4.0 inch bore and a 3.48 inch stroke. Find the single cylinder volume.
Solution Steps:
- 1Square the bore: 4.0 × 4.0 = 16 square inches.
- 2Multiply by stroke: 16 × 3.48 = 55.68.
- 3Multiply by π/4 (0.785398): 55.68 × 0.785398 = 43.731 cubic inches.
- 4Convert to cc: 43.731 × 16.387064 = 716.62 cc (0.7166 L).
Result:
One cylinder displaces 43.73 cubic inches, 716.62 cc, or 0.7166 liter. Across 8 cylinders that is about 5.7 liters (350 ci).
Metric Cylinder (Millimeters)
Problem:
An engine measures 100 mm bore and 90 mm stroke. What is the cylinder volume?
Solution Steps:
- 1Convert bore to inches: 100 ÷ 25.4 = 3.937 inches.
- 2Convert stroke to inches: 90 ÷ 25.4 = 3.543 inches.
- 3Apply the formula: 0.785398 × (3.937)² × 3.543 = 43.135 cubic inches.
- 4Convert to cc: 43.135 × 16.387064 = 706.86 cc (0.7069 L).
Result:
The cylinder displaces about 706.86 cc, or 43.14 cubic inches (0.7069 liter).
Compact Performance Cylinder
Problem:
A bored small four-cylinder uses a 3.5 inch bore and a 3.0 inch stroke. Find the per-cylinder volume.
Solution Steps:
- 1Square the bore: 3.5 × 3.5 = 12.25 square inches.
- 2Multiply by stroke: 12.25 × 3.0 = 36.75.
- 3Multiply by π/4: 36.75 × 0.785398 = 28.863 cubic inches.
- 4Convert to cc: 28.863 × 16.387064 = 472.99 cc.
Result:
Each cylinder displaces 28.86 cubic inches or 472.99 cc; four of them total roughly 1.89 liters.
Tips & Best Practices
- ✓Multiply the single cylinder volume by the cylinder count to get total engine displacement.
- ✓Use the millimeter setting for metric spec sheets; the tool converts to inches internally using 25.4.
- ✓Volume scales with the square of the bore, so a small bore increase adds disproportionately more displacement.
- ✓Measure the bore at its widest internal point with a bore gauge for the most accurate result.
- ✓The stroke is twice the crankshaft throw, not the throw itself — a common source of error.
- ✓Pair this calculator with a compression ratio tool to plan static compression before buying pistons.
- ✓Remember that 16.387064 cc equals exactly one cubic inch when sanity-checking conversions.
- ✓Oversquare bore/stroke ratios favor high-rpm power; undersquare ratios favor low-end torque.
Frequently Asked Questions
Sources & References
Last updated: 2026-06-05
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Editorial Note
MyCalcBuddy Editorial Team
This page is maintained as an educational calculator reference.
Formula Source: Standard Mathematical References
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