Sphere Calculator
r =
Variable Key
r= radiusd= diameter = 2rV= volumeSA= surface areaπ= ≈ 3.14159…
Given radius r
Calculate volume, surface area, and diameter.
Volume
Surface area
Diameter
Given diameter d
Calculate volume and surface area from diameter.
Volume
Surface area
Given volume V
Find radius and surface area from volume.
Radius
Surface area
r= radius
d= diameter = 2r
V= volume
SA= surface area
π= ≈ 3.14159…
A sphere is a perfectly round 3D object where every point on the surface is equidistant from the center. It encloses the maximum volume for a given surface area — a property used by bubbles and cells.
r = 5=V=523.60, SA=314.16(4/3)π(125), 4π(25)
r = 10=V=4188.79, SA=1256.64Volume × 8, SA × 4 when r doubles
| Property | Formula |
|---|---|
| Volume | V = (4/3)πr³ |
| Surface area | SA = 4πr² |
| Given diameter d | V = (π/6)d³, SA = πd² |
| From volume | r = ∛(3V/4π) |
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Fun Fact
A sphere is the only shape where the surface area in square units equals the volume in cubic units when r = 3 (SA = 4π·9 = 36π, V = (4/3)π·27 = 36π).
References
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