basic

Frustum of a Cone Volume Calculator

V = (πh/3) · (R² + R·r + r²) for a truncated cone.

Compute the volume of a frustum of a cone (a truncated right circular cone) from the two parallel-circle radii and the height: V = (πh/3) · (R² + R·r + r²). Reports the lateral surface area and slant height too.

Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

Inputs

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

V = (πh/3) · (R² + R·r + r²); slant = √((R−r)² + h²); A_lat = π(R + r) · slant.

In depth

Compute the volume of a frustum of a cone (a truncated right circular cone) from the two parallel-circle radii and the height: V = (πh/3) · (R² + R·r + r²). Reports the lateral surface area and slant height too.