Cone Volume Calculator
Cone volume calculator: volume, slant height and surface area from radius and height.
V = ⅓ · π · r² · h
How to use this calculator
- Choose the quantity you want under “Solve for”.
- Type the known values and pick their units: any combination works.
- The result updates as you type. Open “Show the steps” to see the substitution.
A cone holds one third of the cylinder with the same base and height: V = ⅓πr²h. Slant height s = √(r² + h²).
Formula
V = ⅓ · π · r² · h
| Symbol | Quantity | Units |
|---|---|---|
| r | Radius | m, km, cm, mm, µm, nm, pm, Å, in, ft, yd, mi, nmi, au, ly |
| h | Height | m, km, cm, mm, µm, nm, pm, Å, in, ft, yd, mi, nmi, au, ly |
| V | Volume | L, mL, µL, m³, dm³, cm³, gal, gal (UK), qt, pt, cup, fl oz, ft³, in³ |
Worked example
Given: r = 3 cm · h = 12 cm
V = ⅓ π r² h
Result: V = 113.097 cm³
Frequently asked questions
Volume with r = 3 cm and h = 12 cm?
⅓ × π × 9 × 12 ≈ 113.1 cm³.