Cone Surface Area Calculator
Compute the total surface area of a cone: A = πr(r + l).
Input Data
Base radius.
Slant (generatrix) length.
Results
75.3982
Cone surface area = πr(r+l) = 75.3982.
At a glance:Total cone surface area A = πr² + πrl = πr(r + l), including the base and lateral area, where l is the slant height.
Formula
A = πr(r + l).
If height h is known, l = √(r² + h²).
How to Use
- Enter base radius r and slant height l.
- The tool returns total surface area A.
Case Studies
r=3, l=5 → 75.40
A = π·3·8 ≈ 75.40.
FAQ
What is slant height?
The length of the line from the apex to the rim.
Cone volume?
This tool computes surface area; see cone-volume for volume.
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References
Content reviewed by the Calculatorism editorial team. Results are for reference only; please refer to the relevant authorities for the official figures.