Cone Surface Area Table: Total surface area by Base radius
Reference table of total surface area for Cone Surface Area across a range of base radius values — exact, engine-computed figures you can read off at a glance.
Cone Surface Area Calculator
Verified formula Updated Jun 2026 Private — runs on your device
Verified formula
Private
Total surface area
75.3982
- Slant height
- 5.0000
For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.
How to use the Cone Surface Area Calculator
The Cone Surface Area Calculator works out your total surface area, along with 1 related figure in an instant. Enter base radius and height and the result updates as you type — it is free, needs no sign-up, and runs entirely in your browser so your figures stay private.
- Enter the base radius.
- Enter the height.
- Read off your total surface area, together with slant height — the calculator updates automatically, with no button to press.
Formula
The Cone Surface Area Calculator uses the formula:
Total surface area = 3.141592653589793 × Base radius × (Base radius + √(Height ^ 2 + Base radius ^ 2))
Worked example
For example, with base radius of 3 and height of 4, the total surface area is 75.3982.
| Base radius | 3 |
|---|---|
| Height | 4 |
| Total surface area | 75.3982 |
|---|---|
| Slant height | 5.0000 |
Results are estimates for educational use, not professional advice.
Key terms explained
- Surface area
- The total area of all the outer faces of a three-dimensional object.
- Radius
- The distance from the centre of a circle or sphere to its edge.
- Area
- The amount of two-dimensional space a shape covers, measured in square units.
Frequently asked questions
Total surface area is πr(r + l), where l is the slant height. For radius 3 and height 4 it is about 75.40 square units.
The slant height is the square root of (height² + radius²). For radius 3 and height 4 it is exactly 5.
Yes. The total adds the circular base πr² to the curved lateral area πrl.
The lateral surface alone is πrl, the total minus the base area πr².
The Cone Surface Area Calculator uses the formula: Total surface area = 3.141592653589793 × Base radius × (Base radius + √(Height ^ 2 + Base radius ^ 2)). For example, with base radius of 3 and height of 4, the total surface area is 75.3982.
Enter the base radius. Enter the height. Read off your total surface area, together with slant height — the calculator updates automatically, with no button to press.
Related guides
How to Calculate Cone Surface Area: Formula, Steps & Examples
Learn how to calculate Cone Surface Area — the formula explained step by step, with worked examples and a free calculator to check your answer.