Construction geometry
Round footing and cylinder volume
Estimate solid or hollow cylindrical volumes for measured round forms, piers or footings, with quantity and an explicit allowance.
Your inputs
Complete the fields for your selected method. Zero means intentionally zero, not unknown. Currency selection labels amounts; it does not convert exchange rates.
How this calculation works
solid volume = π × (outer diameter / 2)² × height; hollow volume subtracts the inner cylindrical volume; total = per-piece volume × count
Measurement arithmetic for the stated ideal shape. Verify dimensions and assumptions at the site. No structural sizing, code compliance, safe load, stair approval, accessibility certification or boundary survey is supplied. Count applies only to identical forms. Dimensions and allowance are supplied, not prescribed. This tool does not choose foundation dimensions, bearing capacity, concrete strength, reinforcement or excavation support. Delivery minimums, waste beyond the entered allowance, labor and taxes are excluded.
What information do I need?
Use records for the same job, equipment or accounting period. Only the fields for your selected entry method are required. An unknown amount is not zero.
Input definitions and where to find them
- Cylinder shape: Use a measured value or an explicit assumption for the stated geometry; check the selected entry method and units.
- Outside diameter (ft): Measure the stated distance and select its unit. Feet, inches and meters are supported. A perpendicular height is not a sloping length.
- Inside diameter (ft): Measure the stated distance and select its unit. Feet, inches and meters are supported. A perpendicular height is not a sloping length. Used with: Hollow cylinder or annular form.
- Cylinder height or depth (ft): Measure the stated distance and select its unit. Feet, inches and meters are supported. A perpendicular height is not a sloping length.
- Number of identical forms (forms): Use a measured value or an explicit assumption for the stated geometry; check the selected entry method and units.
- Extra volume allowance (%): Your extra material allowance; the example is not a prescribed waste rate.
- Optional material price per cubic yard (0 to omit) (selected currency): Supply a quoted material price per cubic yard. Zero omits cost instead of implying free concrete.
Use the Where to find this value controls beside the inputs for available work-it-out helpers. Estimates remain your assumptions; a helper does not verify the source figures.
Worked example
Example amounts use US dollars (USD).
Example answer: Net total cylinder volume is 0.3491 yd³ for the illustrative inputs below.
Example inputs
- Cylinder shape: Solid cylinder
- Outside diameter: 2.00 ft
- Cylinder height or depth: 3.00 ft
- Number of identical forms: 1 forms
- Extra volume allowance: 5.00 %
- Optional material price per cubic yard (0 to omit): $0.00
- Net total cylinder volume
- 0.3491 yd³
- Order volume including allowance
- 0.3665 yd³
- Net total volume in cubic feet
- 9.4248 ft³
- Per-form net volume
- 9.4248 ft³
- Material volume cost only
- No price entered
These illustrative values are not recommended rates or industry averages. Replace every example input with your own figures.
Use the result well
Estimate solid or hollow cylindrical volumes for measured round forms, piers or footings, with quantity and an explicit allowance.
Keep inputs on the same scope and time basis. Calculations retain precision internally; displayed values generally round to two decimal places, with extra precision for very small values and whole-unit rounding where required. Economic comparisons describe your supplied assumptions and do not guarantee future results.
This tool provides business arithmetic. It does not approve engineering designs, establish legal or tax treatment, select equipment or certify safe operating conditions.