Frustum Volume Calculator

Calculate the volume of a truncated cone.

Bottom Radius (R)Top Radius (r)Height

Enter dimensions above.

How to Use the Frustum Volume Calculator

Enter the two radii and perpendicular height of the truncated cone to calculate its volume.

Practical Example

With lower radius 6, upper radius 3 and height 8, the frustum volume is approximately 527.79 cubic units.

Factors That Affect the Result

Use perpendicular height, not slant height. The two radii must correspond to the circular ends of the same frustum.

Frequently Asked Questions

What is a frustum?

A cone or pyramid with the top cut off parallel to the base.

Can both radii be equal?

Yes; the shape then behaves like a cylinder.

What units are returned?

Cubic units.

Related Tools

Calculating Frustum Volume

A conical frustum is the portion left after the top of a cone is cut by a plane parallel to its base. Its volume is V = (πh/3)(R² + Rr + r²), using the two radii and vertical height.

Measure both circular ends in the same unit and distinguish radius from diameter. This formula assumes a right circular frustum. For containers, usable capacity may be lower because of wall thickness, fittings or fill limits, so geometric volume should not automatically be treated as operating capacity.