Calculadora de Volume do Cone

Volume do cone: (1/3) × π × r² × altura.
Created by
Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

Volume
47,1239 m³

Formula

V = (1/3) × π × r² × altura

About this calculator

The cone volume calculator allows you to compute the volume of a right circular cone based on the base radius and height. The volume is given by the formula V = (1/3) × π × r² × h, where r is the radius of the circular base and h is the height of the cone. This tool is useful for students, engineers, and professionals who need to quickly determine the capacity of conical objects.

To use the calculator, enter the base radius and height of the cone in the provided fields. The calculator uses π as 3.14159 and returns the volume in cubic units, consistent with the units you provide. Make sure the measurements are in the same unit (e.g., centimeters or meters) to obtain a correct result.

This calculator is suitable for situations such as calculating the volume of a funnel, an ice cream cone, a conical reservoir, or piles of granular materials. Keep in mind that the formula assumes a right cone, meaning the vertex is aligned perpendicularly to the center of the base. For oblique cones, the calculation is different.

Cautions: do not confuse radius with diameter. If you have the diameter, divide it by 2 to get the radius. Also, the height must be the perpendicular distance from the base to the vertex, not the slant height. For truncated cones, use the specific formula for the frustum of a cone.

Frequently asked questions

How do I calculate the cone volume if I have the diameter?

Divide the diameter by 2 to get the radius and enter that value in the calculator.

Can I use this calculator for oblique cones?

No, the formula V = (1/3)πr²h is only valid for right cones. Oblique cones require a different formula.

What if the height given is the slant height?

The height must be the perpendicular distance from the base to the vertex. If you have the slant height, use the Pythagorean theorem to find the height: h = √(s² - r²).

Does this calculator work for a truncated cone?

No, a truncated cone has two circular bases. Use a specific calculator for the frustum of a cone.

What units does the calculator use?

The calculator accepts any unit of length (meters, centimeters, etc.), as long as the radius and height are in the same unit. The volume will be in the corresponding cubic unit.

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