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How to Find the Diameter of a Sphere: Direct & Inverse Formulas

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Formula: d = 2 × r = 2 × ∛( 3V ÷ (4π) )
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Direct Formulas to Solve for Diameter

  • From Radius: d = 2r
  • From Circumference: d = C / π
  • From Surface Area: d = √( A / π )
  • From Volume: d = ∛( (6V) / π )

Example: For a sphere with volume = 523.6 ext{ cm}^3$:

  • $6 imes 523.6 = 3,141.6$.
  • $3,141.6 \div \pi \approx 1,000$.
  • $\sqrt[3]{1000} = 10 ext{ cm}$.

Common Questions About How to Find the Diameter of a Sphere: Direct & Inverse Formulas

Multiply volume by 6, divide by π, and take the cube root: d = ∛(6V / π).
Circumference divided by Pi equals diameter: d = C / π.

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