What is the formula for the volume of a cone?

The volume of a cone is V = (1/3)πr²h, where r is the radius of the circular base and h is the perpendicular height from the base to the apex.

What is the difference between height and slant height?

The height (h) is the perpendicular distance from the base to the tip of the cone. The slant height (l) is the distance along the side surface from the base edge to the tip. They are related by l = √(r² + h²).

Does this calculator work for oblique cones?

The formula V = (1/3)πr²h applies to both right circular cones and oblique cones, as long as h is the true perpendicular height (not the slant height).

How many decimal places does the result use?

Results are shown to 4 decimal places. The internal calculation uses full floating-point precision, so you can rely on the displayed value for most practical purposes.

Can I use this for a truncated cone (frustum)?

No, this calculator is for a complete cone only. A frustum (cone with the top cut off) requires the formula V = (1/3)π·h·(r₁² + r₁r₂ + r₂²), which is handled by a separate frustum calculator.

How do you find the volume of a cone from the diameter?

Divide the diameter by 2 to get the radius (r = d/2), then apply V = (1/3)π(d/2)²h. For example, a cone with diameter 10 and height 12 has V = (1/3)π·25·12 ≈ 314.16 cubic units.

Volume of a Cone Calculator

Enter the radius and height of a cone to instantly calculate its volume using V = (1/3)πr²h.

Cone Dimensions

Unit

Base Radius (r)

Height (h)

Formula Reference

Volume V = (1/3) · π · r² · h

Base Area A = π · r²

Slant Height l = √(r² + h²)

Enter the radius and height, then click Calculate Volume.

Cone Diagram

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Summary

This calculator computes the volume of a right circular cone using the standard formula V = (1/3)πr²h, where r is the base radius and h is the perpendicular height. Results are displayed in cubic units matching your selected measurement system. The tool also shows the slant height and base area as supplementary outputs.

How it works

Enter the base radius of the cone.
Enter the perpendicular height of the cone.
Select your preferred unit (cm, m, in, or ft).
The volume, slant height, and base area are calculated instantly.
Use the Copy button to copy the volume result to your clipboard.

Use cases

Calculate concrete volume for conical structural elements.
Estimate material fill for funnel-shaped containers.
Solve geometry homework problems involving cones.
Determine ice-cream cone capacity for portion sizing.
Compute storage volume of grain silos or hoppers.
Verify 3D model dimensions during product design.

Frequently Asked Questions

Last updated: 2026-05-25 · Reviewed by Nham Vu