Cone Calculator

Find a cone's volume and surface areas from radius plus height, slant height, or volume.

Last updated: June 2026 | By Patchworkr Team

Radius

Height

Cone relationships used here: s² = r² + h² and V = (πr²h)/3.

Radius is required.

Live Results

Enter valid measurements to see results.

Formulas

Volume: V = (πr²h) / 3

Slant height: s = sqrt(r² + h²)

Surface area: A = πr² + πrs = πr(r + s)

Example: r = 3, h = 4

Slant height: sqrt(3² + 4²) = 5

Volume: (π x 3² x 4) / 3 = 12π ≈ 37.69911184

Surface area: π x 3 x (3 + 5) = 24π ≈ 75.39822369

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