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Cone Surface Area Calculator

Result

Calculated result Ready Change any value to calculate instantly.
↗ Math

Cone Surface Area Calculator — free online calculator.

Formula

Total surface area = π × radius × (radius + √(radius² + height²)).
  • Enter the geometric dimensions indicated below. Dimensions must use compatible units; the output is an area in squared units unless otherwise stated.
  • The main inputs are Radius, Height. Enter them in the units and format shown in the calculator.
  • Keep comparable quantities in compatible units whenever the formula combines or compares them.
  • Changing any input above recalculates the result with the same calculation engine used by this page.

Example: Cone Surface Area

Inputs
  • Radius: 5
  • Height: 12

Example inputs: Radius = 5; Height = 12. Calculated result: Area: 282.7433 square units.

Sample result: Calculating…

Frequently asked questions

What does the Cone Surface Area calculate?

Total surface area includes the circular base; lateral area alone is πrl.

Which values should I enter?

Enter Radius, Height using the units and format shown beside each field.

What formula does this calculator use?

The calculator uses the following relationship: Total surface area = π × radius × (radius + √(radius² + height²))..

Why might my result differ from another source?

Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.

Does the result update automatically?

Yes. Changing an input updates the result using the same calculation engine shown on this page.

Page information

Updated: October 6, 2026