What is the formula for the volume of a cone?

V = (1/3)πr²h, where r is base radius and h is height. This is 1/3 of a cylinder with same dimensions.

How do I calculate slant height?

s = √(r² + h²) using the Pythagorean theorem.

What is lateral surface area?

Lateral area = πrs, where s is slant height. This is the curved surface excluding the base.

What's the total surface area formula?

Total = πr² + πrs = πr(r + s), which includes both the base and the curved surface.

Cone Calculator

Calculate volume, surface area, and slant height of a cone.

Unit of Measurement

Radius (r)

Base radius

Height (h)

Vertical height

3D Preview

Volume

0 cm³

V = (1/3)πr²h = (1/3) × π × 5² × 10

Total Surface Area

0 cm²

πr² + πrs

Lateral Area

0 cm²

πrs

Slant Height

0 cm

√(r² + h²)

Documentation

Understanding Cones

A cone is a 3D shape with a circular base tapering to a point (apex). Its volume is exactly 1/3 of a cylinder with the same base and height.

Volume

Surface

Slant

Frequently Asked Questions

How to Use

About the Cone Calculator

What it calculates

This cone calculator solves mathematical and statistical problems using standard formulas. Calculate volume, surface area, and slant height of a cone.

When to use it

Use for homework, data analysis, exam prep, or quick verification of manual calculations.

Example

Adjust the inputs above to model your specific scenario with the Cone Calculator.

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