Sphere Calculator
Enter the radius, diameter, volume or surface area of a sphere.
Sphere
Formulas
V = (4/3)πr³
A = 4πr²
r = ∛(3V ÷ 4π)
Worked example
A ball of radius 6 cm
- V = (4/3) × π × 216 = 288π ≈ 904.78 cm³
- A = 4 × π × 36 = 144π ≈ 452.39 cm²
Volume ≈ 904.8 cm³ (about 0.9 L).
Scaling
Doubling the radius multiplies the surface area by 4 and the volume by 8. This square-cube relationship is why large drops of water fall faster and why small animals lose heat more quickly than large ones.