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Volume of Conical Frustum Calculator

Enter the top radius, bottom radius, and height to calculate the volume instantly.

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About Volume of Conical Frustum

The Volume of Conical Frustum Calculator quickly finds the space inside a truncated cone from its top radius, bottom radius, and height. Ideal for students, teachers, architects, engineers, and anyone working with frustum shapes in construction, packaging, or 3D design.

What is a Conical Frustum?

A conical frustum forms when a cone is cut by a plane parallel to its base, removing the tip. Everyday examples include buckets, lampshades, flower pots, and certain tower profiles. The volume measures the space enclosed by this shape.

Everyday examples:

Household – Buckets and flower pots.
Lighting – Lampshades and fixtures.
Architecture – Truncated cone towers.
Design – 3D modeling & packaging.

Formula for Volume of a Conical Frustum

Use the standard formula:

Volume = (1/3) × π × h × (R² + Rr + r²)

Where R is the base (larger) radius, r is the top (smaller) radius, and h is the height, with π ≈ 3.1416.

Example Calculation

For R = 6 cm, r = 3 cm, and h = 10 cm:

Volume = (1/3) × π × 10 × (6² + 6×3 + 3²)
= (1/3) × π × 10 × (36 + 18 + 9)
= (1/3) × π × 630
= 210π ≈ 659.73 cm³

Features of the Volume of Conical Frustum Calculator:

Easy inputs for top radius, base radius, and height
Supports cm³, m³, in³, ft³, etc.
Instant and precise results
Works on mobile, tablet, and desktop
No downloads or sign-ups needed

Ideal For:

Math and geometry students
Teachers and educators
Engineers and architects
Construction & design professionals
Everyday frustum calculations

Calculate frustum volumes with ease — fast, accurate, and beginner-friendly.