Measurement
Use the geometric cylinder formula to convert a measured diameter and height/depth into cubic volume.
Change the defaults to match your project and the product you plan to buy.
Project result
See radius, circular base area and total cylindrical volume in cubic units.
Planning estimate only. Verify product coverage, package size, supplier specifications and project requirements before purchasing.
Choose the right tool
You need pure right-cylinder geometry from diameter and height/depth.
Use Pipe Volume for internal pipe capacity or concrete shape tools when purchase/bag conversion is required.
Methodology
diameter ÷ 2
Half the measured diameter.
π × radius²
Circular cross-section.
base area × height
Right circular cylinder.
convert cubic result
Same physical volume in US/Metric units.
Measure diameter through the center of the circular section and height or depth perpendicular to that section. Decide whether the relevant dimension is inside, outside or form diameter before entering it. For tanks and pipe capacity use the internal bore; for concrete columns or excavation geometry use the physical form or hole dimension that defines the material volume.
The formula assumes a straight right circular cylinder with constant diameter. Tapered holes, bell-shaped footings, domed tank ends and irregular excavations need separate geometry or segment calculations. When the result will be converted to bags, gallons or supplier units, apply the appropriate product yield or purchase allowance in the downstream material calculator rather than altering the geometric volume.
Reference
| Planning item | Starting point | Verify / adjust |
|---|---|---|
| Diameter | through circle center | Choose inside/outside basis. |
| Height/depth | perpendicular dimension | Constant section assumed. |
| Formula | πr²h | Right cylinder only. |
| Material yield | separate conversion | Apply after geometry. |
Questions
No. Radius is one-half of diameter.
Yes for a straight cylindrical tank section when you use internal dimensions for capacity.
Yes for ideal cylindrical hole volume, though actual excavations may be irregular and concrete projects need a separate waste/yield allowance.
Planning guides
Measurement
Calculate right-cylinder volume accurately by distinguishing diameter, radius and the height/depth dimension.
Read guide →Measurement
Keep diameter, radius and circumference distinct when moving between circular area, cylinder volume and pipe measurements.
Read guide →Measurement
Know when a project needs square units versus cubic units before applying material coverage, depth or package yield.
Read guide →Calculate circular area and circumference from a measured diameter in US or Metric units for round patios, beds, pads and project layouts.
Open calculator → MeasurementCalculate rectangular volume in cubic feet or cubic meters from length, width and height for fill, storage and home-project planning.
Open calculator → Plumbing & DrainageCalculate approximate internal pipe volume from inside diameter and length, with output in gallons/liters and cubic volume.
Open calculator →