Math Calculators

Frustum Volume Calculator

Calculate frustum volume with clear inputs, formulas, and supporting results.

Free browser-based tool • No signup required
Frustum Volume

Frustum Volume Calculator

Frustum volume
Lateral slant height
Total surface area
Results are estimates for informational purposes. Verify critical calculations and project requirements independently.

Calculator Inputs and Outputs

Inputs

  • Larger radius (units) — example: 6
  • Smaller radius (units) — example: 3
  • Height (units) — example: 10

Results

  • Frustum volume (cubic units)
  • Lateral slant height (units)
  • Total surface area (square units)

Formula used

V = πh(R² + Rr + r²)/3.

How to Use the Frustum Volume Calculator

Enter the requested values, check the units and assumptions, then select Calculate Frustum Volume. The built-in defaults provide a complete working example.

Formula

V = πh(R² + Rr + r²)/3.

Understanding the Results

The primary answer appears first. Supporting outputs show related quantities, conversions, dates, costs, ratios, or intermediate values. Calculations keep additional precision before display rounding.

Accuracy Tips

  • Use measured values and consistent units.
  • Review assumptions, rates, timing, and efficiency inputs.
  • Recalculate after changing any condition.

Important Note

This tool provides an informational estimate. Confirm critical financial, medical, construction, scientific, tax, legal, or safety decisions with an appropriately qualified professional.

Calculation Standards

This tool uses documented formulas and high-precision internal values. Displayed results may be rounded for readability. Review the assumptions and verify important decisions with a qualified professional.

Read our calculation methodology