Cone Volume & Surface Area Calculator

Full cone calculator: volume, lateral area, total surface area, and slant height from radius and height.

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Volume

150.7964

Lateral Sa123.7644
Total Sa174.0299
Slant Height9.8489
View formula & how it works →

Cone Formulas

Volume

V = (1/3) × pi × r² × h

Slant Height

l = sqrt(r² + h²)

Surface Area

  • Lateral area = pi × r × l
  • Total area = pi × r × l + pi × r² = pi × r × (l + r)

    • Example Calculation

    Cone with radius 4 and height 9.

    1. 01Slant = √(16+81) = √97 ≈ 9.8489
    2. 02Volume = (1/3)×pi×16×9 = 48pi ≈ 150.7964
    3. 03Lateral SA = pi×4×9.8489 ≈ 123.7168
    4. 04Total SA = 123.7168 + pi×16 ≈ 173.9460

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