Step 1: Find the radius
The diameter is the full distance from one side of the circular section to the opposite side through the center. Radius is half of that distance.
r = D / 2
Calculate the volume of cylindrical concrete forms and test specimens.
Calculate the concrete volume required for a cylindrical column, circular pier, round post, pile, or other cylindrical concrete element. Enter the diameter and height, choose your measurement unit, and optionally calculate multiple cylinders and add a concrete waste allowance.
Conventional concrete using normal-density aggregates.
Enter the complete distance across the circular section. Radius is calculated as D ÷ 2.
Blank = 1 cylinder.
Blank = 0%.
The dimensions update automatically as you enter values.
Enter a positive diameter and height. The results will update automatically.
The calculator first determines the radius and circular cross-sectional area, then multiplies the area by the cylinder height to determine concrete volume.
r = D / 2
The radius is half of the full circular diameter.
A = πD² / 4
The circular cross-sectional area is calculated from the diameter.
V = πD²H / 4
Multiply the circular cross-sectional area by the cylinder height.
Vtotal = Vone × N
Multiply the volume of one identical cylinder by the number of cylinders.
Vrequired = Vtotal × (1 + w / 100)
Adds the selected waste percentage to the calculated gross concrete volume.
Af = πDH
The vertical cylindrical surface equals circumference multiplied by height.
A cylinder has a circular cross-section extending through a specified height. Its volume is therefore calculated by multiplying the area of the circular section by the height.
The diameter is the full distance from one side of the circular section to the opposite side through the center. Radius is half of that distance.
r = D / 2
The area of a circle is π multiplied by the radius squared. Substituting D ÷ 2 for the radius gives the diameter-based formula used in this calculator.
A = πr²
A = π(D / 2)²
A = πD² / 4
Multiply the cross-sectional area by the cylinder height.
V = A × H
V = πD²H / 4
When several identical cylindrical elements are required, multiply the volume of one cylinder by the number of cylinders.
Vtotal = Vone × N
A waste allowance can be added above the geometric volume to provide an additional quantity for practical construction conditions.
Vrequired = Vtotal × (1 + w / 100)
| Symbol | Meaning | Typical unit |
|---|---|---|
| D | Diameter | mm, cm, m, in, ft |
| r | Radius | mm, cm, m, in, ft |
| H | Cylinder height | mm, cm, m, in, ft |
| A | Circular cross-sectional area | m² |
| V | Concrete volume | m³, ft³, yd³, L |
Consider a circular concrete column with a diameter of 400 mm and a height of 3 m. Suppose there are 8 identical columns and a 5% allowance is added.
| Step | Calculation | Result |
|---|---|---|
| Convert diameter | 400 mm = 0.40 m | 0.40 m |
| Radius | 0.40 ÷ 2 | 0.20 m |
| Circular area | π × 0.20² | ≈ 0.12566 m² |
| One cylinder | 0.12566 × 3 | ≈ 0.37699 m³ |
| Eight cylinders | 0.37699 × 8 | ≈ 3.01593 m³ |
| Add 5% allowance | 3.01593 × 1.05 | ≈ 3.16673 m³ |
For a cylindrical concrete element, the vertical side surface is calculated from the circumference multiplied by the height.
C = πD
The circumference is the distance around the circular section.
Af = πDH
Multiply the circumference by the cylinder height.
The side formwork result represents the vertical cylindrical contact surface only. It does not include the circular top or bottom surfaces.
Surface-area calculations can be useful for coating, finishing, insulation, formwork, or other surface-related quantity estimates.
A = πD² / 4
A = πDH
A = 2πr² + 2πrH
The calculator's formwork output uses only the vertical curved surface, while the complete surface-area formula above includes both circular ends.
The basic geometric volume does not change simply because the concrete type changes. However, concrete materials, production, placement, durability, and specified performance can vary by project.
Conventional concrete using normal-density aggregates.
Concrete produced in a batching plant and delivered to the project.
Concrete proportioned and mixed at the construction site.
Concrete specified to achieve relatively high compressive strength.
Concrete engineered to provide specific performance characteristics.
Concrete produced using lower-density aggregates to reduce unit weight.
Concrete using high-density aggregates where increased density is required.
Highly flowable concrete designed to fill formwork with limited mechanical vibration.
Concrete containing fibers intended to modify selected performance characteristics.
Concrete products manufactured under controlled conditions before installation.
Concrete placed and cured in its final construction location.
Concrete used with a prestressing system to introduce controlled internal forces.
This calculator estimates the geometric volume of concrete in a cylindrical element. It is a quantity-estimation tool, not a structural design calculator.
Structural design can require consideration of loads, bending, eccentricity, concrete strength, reinforcement, slenderness, confinement, durability, fire requirements, seismic conditions, connections, construction conditions, and project-specific engineering requirements.
Do not use the quantity result by itself to determine whether a structural column or other concrete element is safe or compliant.
The cylinder volume formula is V = πr²H, where r is the radius and H is the height. When diameter D is used as the input, the equivalent formula is V = πD²H ÷ 4.
This calculator uses diameter as the input. The radius is calculated automatically as D ÷ 2.
Convert the diameter and height to the same unit, calculate the circular cross-sectional area using A = πD² ÷ 4, and multiply that area by the height.
Yes. Enter the number of identical cylindrical elements. The calculator multiplies the volume of one cylinder by the quantity.
A project may require additional concrete to account for handling, placement, spillage, irregularities, formwork tolerances, and other site conditions. The appropriate allowance depends on project practice.
No. This calculator estimates geometric concrete volume. It does not calculate reinforcing bars, ties, lap lengths, cover, development length, or structural capacity.
For the vertical cylindrical surface, the area is circumference multiplied by height. Since circumference = πD, the side formwork area is Af = πDH.
All dimensions are converted internally to meters before calculation. This prevents errors caused by multiplying dimensions expressed in different units.
Yes. The volume formula represents the complete geometric volume of the cylinder.
No. The formwork result represents the vertical cylindrical side/contact surface only.
No. Concrete quantity and geometric dimensions are not sufficient for structural safety assessment. Structural design requires project-specific loads, materials, reinforcement, detailing, boundary conditions, and applicable engineering requirements.
Calculate concrete volume for square, rectangular, and circular columns.
Estimate concrete quantities for slabs, footings, beams, and other simple shapes.
Calculate cylinder volume, surface area, radius, diameter, and height.
Estimate concrete volume for common footing shapes.
This concrete cylinder calculator is designed for preliminary quantity estimation of cylindrical concrete elements. It can be used for circular columns, piers, posts, piles, cylindrical foundations, and other elements with a constant circular cross-section.
The calculator determines the circular cross-sectional area from the entered diameter and then multiplies the area by the specified height. Users can work in millimeters, centimeters, meters, inches, or feet. All dimensions are converted internally to meters before the geometric calculation is performed.
The tool can calculate one cylinder or multiple identical cylinders. An optional waste allowance can also be added to the calculated quantity. The final volume is displayed in cubic meters, liters, cubic feet, and the selected cubic unit.
In addition to concrete volume, the calculator provides the circumference and vertical side/formwork area of the cylinder. This can be useful for preliminary estimates involving formwork, coating, insulation, or other surface-related quantities.
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Concrete Cylinder Calculator is a construction quantity-estimation tool. Calculate the volume of cylindrical concrete forms and test specimens. It is designed to help with early quantity checks, material planning, takeoffs, and everyday site calculations. Because construction quantities depend on drawings, specifications, actual dimensions, material properties, workmanship, and site conditions, the result should be treated as an estimate and verified before procurement or construction.
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