Sphere Radius Calculator (Reverse Geometry)
Determine the exact radius of a sphere when only the total volume or surface area is known by applying inverse algebra: r = ³√(3V / 4π) or r = √(A / 4π).
Inverse Radius Formulas
From Volume: r = ³√[ (3 × V) / (4 × π) ]
From Surface Area: r = √[ A / (4 × π) ]
Step-by-Step Inversion
- Multiply volume V by 3.
- Divide by 4π (≈ 12.56637).
- Take the cube root of the quotient.