Cone Calculator: Quick, Accurate Results

Use this cone calculator to find volume, total surface area, slant height, lateral area, and base area. Enter radius and height, choose a unit, then click calculate. The page shows the formulas and a clear diagram for context.

How It Works

This tool uses standard formulas for a right circular cone. Symbols used are r for radius, h for height, and s for slant height. Pi equals about 3.14159.

• Slant height: s = √(r² + h²)
• Volume: V = (1/3) × π × r² × h
• Total surface area: A = π × r × (r + s)
• Lateral surface area: L = π × r × s
• Base area: B = π × r²

The calculator rounds every result to three decimals. Results show the right unit type for length, area, and volume.

Why Use the Cone Calculator?

It saves time and stops slips. You get clean numbers for class, shop, or craft work. Formulas sit on the page, so you can check each step. The diagram labels height, radius, and slant height for quick learning.

Features You’ll Appreciate

• Positive number check for radius and height
• Unit selector with these options: units, cm, m, inches, feet
• Three decimal rounding for clear, repeatable answers
• Both total and lateral area for coating, wrapping, or cutting
• Visible formulas with r, h, and s, plus a helpful diagram
• Works for full cones with a straight center axis

How to Use This Tool

1. Choose a unit from this list: units, cm, m, inches, feet.
2. Type a number greater than zero for the radius.
3. Type a number greater than zero for the height.
4. Click the calculate button.
5. Read the slant height, volume, surface area, lateral area, and base area.

What to enter

• Radius r: measure from the center of the base circle to the rim.
• Height h: measure straight from the tip to the base center.
• Unit: one choice applies to all fields and results.

cm means centimeters. m means meters.

What the results mean

• Slant height s: the side length from the tip to the rim.
• Volume V: space inside the cone in cubic units.
• Total surface area A: base plus side area in square units.
• Lateral surface area L: side area only in square units.
• Base area B: area of the circular base in square units.

Notes and limits

• Use values greater than zero for radius and height.
• Use the same unit for both inputs.
• Results round to three decimals for easy reading.
• The default option units shows linear results without a label.
• This tool serves right circular cones, not frustums or oblique cones.

Worked example

• Set unit to cm, then enter r = 3 and h = 4.
• Slant height s equals 5.000 cm.
• Volume V equals 37.699 cm³.
• Total surface area A equals 75.398 cm².
• Lateral surface area L equals 47.124 cm².
• Base area B equals 28.274 cm².

Common use cases

• Homework checks for geometry problems
• Cutting paper or fabric cone templates
• Estimating paint or wrap material for a cone
• Finding capacity for a funnel or filter cone
• Planning packaging or storage for cone shaped items

Skip chalk dust and guesswork. Type your numbers and get crisp cone calculator results fast.