Construction / CALCULATOR

Frustum Excavation Volume

Frustum Excavation Volume with explicit measurements, assumptions and a worked example.

Runs on your deviceUpdates as you typeFormula & example ↓
01

Your inputs

Adjust the values to explore a different result.

m
Enter top diameter in m.
m
Enter bottom diameter in m.
m
Enter depth in m.

Formula

V=πh(Dtop²+Dtop Dbottom+Dbottom²)/12.
  • Use the units shown beside each field.
  • Results update automatically whenever you change an input.
  • Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
  • Circular tapered excavation, not a slope-stability or safe-excavation design. Loose spoil volume differs.

Example Calculation

Example inputs
  • Top diameter: 2 m
  • Bottom diameter: 1 m
  • Depth: 1 m

Top diameter = 2 m; Bottom diameter = 1 m; Depth = 1 m. Primary result: 1.8325957146.

Frequently asked questions

How do I use this calculator?

Enter top diameter, bottom diameter, depth. The result updates automatically. Use Reset to restore the example values.

What method does it use?

V=πh(Dtop²+Dtop Dbottom+Dbottom²)/12.. Circular tapered excavation, not a slope-stability or safe-excavation design. Loose spoil volume differs.

Why might a rounded result differ?

The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.

Are my inputs saved online?

No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.

Check the assumptions and units before using this result. Read about calculation methods.