Description
Use π × (holeRadius - rootballRadius) × (holeRadius + rootballRadius) for annulusArea, then multiply by depth for backfillVolume.
Simple site geometry approximates an area, section, or volume using ideal shapes. Coherent length units and the distinction between signed and unsigned quantities determine the result's meaning.
Use π × (holeRadius - rootballRadius) × (holeRadius + rootballRadius) for annulusArea, then multiply by depth for backfillVolume.
When to use this tool
Use Rootball Hole Backfill Annulus Area when you need one transparent landscape geometry component.
How to use the tool and how it works
- Enter holeRadius, rootballRadius, depth. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read annulusArea, backfillVolume. Use the output convention below.
Use π × (holeRadius - rootballRadius) × (holeRadius + rootballRadius) for annulusArea, then multiply by depth for backfillVolume.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| holeRadius | Hole Radius | Required. Finite number. |
| rootballRadius | Rootball Radius | Required. Finite number; minimum 0. |
| depth | Depth | Required. Finite number; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| annulusArea | Annulus Area | Required. Finite number. |
| backfillVolume | Backfill Volume | Required. Finite number. |
{
"input": {
"holeRadius": 1,
"rootballRadius": 0.5,
"depth": 2
},
"output": {
"annulusArea": 2.356194490192345,
"backfillVolume": 4.71238898038469
}
}Limitations and assumptions
- This is an ideal cylindrical annulus without taper, irregular roots, compaction, or planting guidance.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use a surveyed terrain or construction model when irregular shapes, settlement, drainage, and structural performance matter.
References
Similar or alternative tools
- Circular Tree Pit Mulch Volume
Calculate π × (pitRadius² - trunkClearRadius²) for area and multiply by depth for volume.
- Planting Pit Volume Allowance
Compute grossVolume = length × width × depth.