Cone Volume Calculator

What is the Cone Volume Calculator?

Calculate the volume, slant height and surface area of a cone. A cone holds exactly one third of the volume of a cylinder with the same base and height, and this calculator adds slant height and surface area too.

How to use the Cone Volume Calculator

1. Enter your radius, your height.
2. Results update automatically as you type; you can also press Calculate.
3. Read the output: volume, slant height, total surface area.
4. Use the 📊 chart to see the result visually, then copy or share it.

Formula and method

Worked example

With radius = 4, height = 9, the Cone Volume Calculator returns volume: 150.796447372; slant height: 9.8488578018; total surface area: 174.029879723.

Where the Cone Volume Calculator helps in real life

You are making paper party hats and need the slant height to cut the pattern. Entering the radius and height gives the slant length to mark on the card.

A landscaper estimates the volume of a conical pile of sand by measuring its base and height. The result gives a quick estimate before ordering more material.

Common mistakes to avoid

• Typing the base diameter into the radius box.
• Measuring slant height when the formula needs vertical height.
• Forgetting the one-third factor and getting a cylinder’s volume.
• Mixing centimeters and meters between inputs.

💡 Practical tip: A cone’s volume is exactly one third of a cylinder with the same base and height.

Tips for better results

• Measure height straight up from the center of the base.
• Use slant height when cutting patterns or calculating surface area.
• Convert cubic units to liters or cubic yards afterwards.

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