Calculate the volume of a cylinder in cubic inches. Enter radius or diameter and height in inches, feet, cm, or meters. See in³, ft³, gallons, liters, and surface area.
The Cubic Inches of a Cylinder Calculator is designed to quickly compute the internal volume of any cylindrical shape and express it in cubic inches (in³). This unit is especially common in automotive engineering for engine displacement, in small-scale manufacturing for container sizing, and in everyday tasks like determining how much a can, mug, or tube can hold.
Using the classic formula V = πr²h, the tool converts any input unit — inches, feet, centimeters, or meters — into inches before computing, eliminating tedious manual conversions. You can toggle between entering a radius or diameter, depending on which measurement you have. The results panel shows the primary volume in cubic inches along with equivalent values in cubic feet, US gallons, and liters so you can compare against product specifications.
Surface area metrics are also calculated: base area, lateral area, and total surface area in square inches. These are helpful when estimating label area, heat transfer, or paint coverage. Eight built-in presets cover common objects — soda cans, pint glasses, 5-gallon buckets, engine bores, and PVC pipe segments — giving instant reference points you can compare your custom cylinder against. A conversion reference table rounds out the tool.
This calculator is most useful when the cylinder is small enough that cubic inches are the natural unit: engine cylinders, cans, mugs, dowels, PVC sections, machined parts, and compact containers. Instead of converting everything to feet first, you can work directly in inches and still see the equivalent cubic feet, gallons, and liters for comparison.
It is also helpful when you are checking product capacity against physical dimensions. The radius-or-diameter toggle matches the way people actually measure bores and tubes, and the surface area outputs help with label sizing, coatings, and material estimates on small cylindrical parts.
V = π × r² × h (in inches). If diameter is given, r = d / 2. Surface area = 2πr² + 2πrh.
Result: 75.398 in³
With a radius of 2 inches and height of 6 inches, the calculator uses V = π × 2² × 6 = 24π ≈ 75.398 in³. It also shows the same cylinder as about 0.04363 ft³, 0.326 gallons, and 1.235 liters, with a base area of about 12.566 in² and total surface area of about 100.531 in².
Cubic inches is the unit people actually use for many compact cylindrical objects. Engine displacement, drink containers, tubing segments, dowels, rollers, and machined bores are often measured in inches from the start, so staying in cubic inches keeps the result intuitive. This calculator lets you enter the exact dimension you have, whether it is radius or diameter, then returns an in³ answer without forcing an unnecessary detour through feet or metric conversions.
The built-in presets are useful reference points because they cover familiar objects such as a 12-ounce can, a pint glass, a 5-gallon bucket, and an engine bore example. That makes it easier to compare a custom cylinder against something tangible. The extra output cards go beyond raw volume by showing cubic feet, gallons, liters, base area, lateral area, and total surface area. Those values matter when you need to compare fluid capacity, estimate label coverage, or understand how much exterior area needs finishing or heat transfer.
If you have a diameter from a spec sheet or caliper, switch to diameter mode instead of halving it manually. That removes one of the most common sources of error in cylinder calculations. For pipes and containers, measure the inside dimension for capacity and the outside dimension only when you care about exterior surface coverage. When using the tool for engine math, treat bore as the diameter and stroke as the height or length. Then multiply the result by the number of cylinders if you need total engine displacement.
One US liquid gallon equals exactly 231 cubic inches. Divide in³ by 231 to convert to gallons.
V = π × r² × h, with r and h measured in inches. The result is in cubic inches.
Divide the diameter by 2 to get the radius, then use V = π × r² × h. Use this as a practical reminder before finalizing the result.
Yes. Enter the bore as the diameter and the stroke as the height. The resulting volume is one cylinder's displacement.
Divide the cubic inches by 1,728 (12³) to get cubic feet. Keep this note short and outcome-focused for reuse.
No. A cylinder has the same volume whether it stands upright or lies on its side. Enter the length as the height.