Sphere Volume Calculator
Sphere volume calculator: V = (4/3)πr³. Find the volume from the radius or the radius from the volume, plus surface area.
V = ⁴⁄₃ · π · r³
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.
The volume of a sphere is V = ⁴⁄₃·π·r³ and its surface area is 4·π·r².
Because volume grows with the cube of the radius, doubling the radius multiplies the volume by eight.
Formula
V = ⁴⁄₃ · π · r³
| Symbol | Quantity | Units |
|---|---|---|
| r | Radius | 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 = 10 cm
V = ⁴⁄₃ · π · r³
Result: V = 4 188.79 cm³
Frequently asked questions
What is the volume of a ball with a 10 cm radius?
V = 4/3 · π · 1000 = 4,188.8 cm³, about 4.19 L.
How do I find the radius from the volume?
r = ∛(3V/(4π)).