What measurements do I need to use the truncated cone volume calculator?

You need the height (h) and the radii of the top (r) and bottom (R) bases. If you know the slant height (s) instead of the vertical height, you can enter that value and the calculator will determine the missing dimension.

How is the volume of a truncated cone calculated?

The volume is found using the formula V = (1/3) * π * h * (r² + r * R + R²), which subtracts the volume of the smaller cone (cut off from the top) from the volume of the original larger cone.

Can I calculate the volume if I only know the slant height and one radius?

Yes, the calculator accepts the slant height (s) as an input. If you provide the slant height and one radius, the tool will compute the missing dimensions to give you the volume.

Does the calculator provide surface area along with volume?

No, this tool calculates only the volume of the truncated cone. Surface area calculations require a separate tool or manual computation.

Geometry & ShapesFree Tool

Truncated Cone Volume Calculator

Provided byOmni Calculatoromnicalculator.com

The truncated cone volume calculator accepts whatever input data you have and uses it to tell you the volume of your ...

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About this tool

What Truncated Cone Volume Calculator does

A truncated cone volume calculator that processes three core measurements—top radius, bottom radius, and height—to compute the exact volume of a frustum. The output presents the calculated volume and, when slant height is provided, additional derived values. The site frames the calculation within a clear geometric explanation, defining the truncated cone as a cone with its top cut off parallel to the base, and walks through the derivation by subtracting the smaller cone from the larger one. The Omni version distinguishes itself by offering a multi-field input interface that accepts whatever data the user already possesses, whether height and radii or slant height. Beyond the volume result, the page provides the full formula, a step-by-step example, and links to related 3D geometry calculators. The interface includes practical action buttons for sharing, clearing, and reloading, all within a streamlined design that avoids the clutter of ads or excessive upsells common on other platforms.

Step by step

How to use the Omni Calculator Truncated Cone Volume Calculator

1
Insert the top radius (r) of the truncated cone
2
Insert the bottom radius (R) of the truncated cone
3
Insert the vertical height (h) between the two bases
4
Optionally enter the slant height (s) if known; the calculator will fill in missing dimensions
5
View the calculated volume result and any additional derived values displayed on the page

Is it right for you

Best for

Students, hobbyists, or anyone needing to calculate the volume of a frustum quickly without manual formula work, especially when they have varying sets of measurements on hand.

Limitations

Results depend on the accuracy of user-input dimensions
No unit conversion or unit selection built into the calculator
Calculates volume only; surface area requires separate tools

Questions

Truncated Cone Volume Calculator FAQ

What measurements do I need to use the truncated cone volume calculator?: You need the height (h) and the radii of the top (r) and bottom (R) bases. If you know the slant height (s) instead of the vertical height, you can enter that value and the calculator will determine the missing dimension.
How is the volume of a truncated cone calculated?: The volume is found using the formula V = (1/3) * π * h * (r² + r * R + R²), which subtracts the volume of the smaller cone (cut off from the top) from the volume of the original larger cone.
Can I calculate the volume if I only know the slant height and one radius?: Yes, the calculator accepts the slant height (s) as an input. If you provide the slant height and one radius, the tool will compute the missing dimensions to give you the volume.
Does the calculator provide surface area along with volume?: No, this tool calculates only the volume of the truncated cone. Surface area calculations require a separate tool or manual computation.

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