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MATH / SOLID GEOMETRY

Conical Frustum Volume Calculator

Calculate the volume of a right circular conical frustum. Review the equation, substituted values, result, assumptions, and interpretation in one focused workspace.

  • 01 Calculated in this tab
  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

Filter by unit name, symbol, or code. Your current selections remain available.

Preparing the calculator...

Use boundary

Calculation path

Calculate the volume of a right circular conical frustum. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.

Calculation path

V=pi h(R^2+Rr+r^2)/3

What you provide

What you provide

  • Larger radius expressed in units, using the same scenario as the other inputs
  • Smaller radius expressed in units, using the same scenario as the other inputs
  • Frustum height expressed in units, using the same scenario as the other inputs

What you receive

What you receive

  • Frustum volume in cubic units from the stated equation
  • A symbolic formula plus substituted working with your values
  • Visible assumptions, field guidance, and an authoritative learning reference

Use boundary

Choose the maximum decimal places shown. This does not increase source accuracy.

The frustum is right and circular with parallel bases.

Use internally consistent units and retain extra precision when carrying the result into another calculation.

Reviewed reference factors

Reviewed reference factors