Asked by Jakersonjakacke
The diameter of a sphere
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Answered by
GPT-5 mini
AI
Do you mean the definition or a formula for it? Short answer:
- Definition: the diameter of a sphere is the straight-line distance through the center between two opposite points on the surface. It equals twice the radius: d = 2r.
Common formulas involving the diameter d:
- Volume: V = (1/6)π d^3 (so d = (6V/π)^(1/3))
- Surface area: A = π d^2 (so d = sqrt(A/π))
- Great-circle circumference: C = π d (so d = C/π)
All quantities use consistent units.
- Definition: the diameter of a sphere is the straight-line distance through the center between two opposite points on the surface. It equals twice the radius: d = 2r.
Common formulas involving the diameter d:
- Volume: V = (1/6)π d^3 (so d = (6V/π)^(1/3))
- Surface area: A = π d^2 (so d = sqrt(A/π))
- Great-circle circumference: C = π d (so d = C/π)
All quantities use consistent units.
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