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Geometry

Cone Frustum Volume Calculator

Find the capacity between parallel cuts of a cone.

Use consistent dimensionsArea and volume units explained below
Geometry desk
Geometry desk

Match each dimension to the shape and keep units consistent.

See the method

Set the dimensions

Runs on your device

Your measurement

Your result

Let’s calculate.

Use the Calculate button to see your result.

Review the method below for assumptions and conventions.

How to use this tool

  1. Enter bottom radius, top radius, height.
  2. Select Calculate to view the result.
  3. Check the method and assumptions below before using the result.

Input reference and sample values

Use the units and choices shown for each field. Sample values are provided for practice, not as recommendations.

InputFormat and unitsSample
Bottom radiusNumeric value. Unit: m. Must be greater than zero.4
Top radiusNumeric value. Unit: m. Must be greater than zero.2
HeightNumeric value. Unit: m. Must be greater than zero.5

Result for these sample inputs

146.607657 m³

Select Try the example in the form to load these values and calculate them again. This replaces the current form inputs. Compare the result with the method and worked explanation below.

The method, explained

Volume = πh(r1² + r1r2 + r2²)/3.

A WORKED EXAMPLE

Using bottom radius = 4 m, top radius = 2 m, height = 5 m, the result is 146.607657 m³. Change these example inputs to match your task; use the method above to check each step.

What to keep in mind

Use the indicated units consistently. Ideal shapes are assumed; dimensions must describe the same object. Display rounding does not increase measurement precision.

Methodology maintained by ClarityKit. How these tools are built and checked.