Mathematical Formula & Method
Cone Volume Calculator Formula
Volume: V = (1/3) × π × r² × h | Slant height: s = √(r² + h²)
Worked Examples & Step-by-Step Solutions
Radius 3 cm, Height 7 cm
- r² = 9 cm².
- V = (1/3) × π × 9 × 7 = 21π ≈ 65.97 cm³.
- Slant height s = √(3² + 7²) = √(9 + 49) = √58 ≈ 7.62 cm.
How to Use the Cone Volume Calculator
- Enter radius and perpendicular height to compute volume and slant height.
Important Assumptions & Unit Conventions
- Applies to right circular cones.
Frequently Asked Questions
How does cone volume compare to cylinder volume?
A cone has exactly one-third (1/3) the volume of a cylinder with the same radius and height.
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