Sphere Calculator
Calculate volume, surface area, diameter, and circumference of a sphere from its radius.
Sphere dimensions
Updates as you typeMode
What do you know? ?
Measurement
Radius ?
—
cm
Length unit ?
Display (optional)
Decimals ?
Live diagram
Scales with your inputFormula
V
=
4
3
π
r
3
A
=
4π
r
2
C
=
2π
r
- V
- Volume of the sphere
- A
- Surface area of the sphere
- C
- Circumference of its great circle
- r
- Radius (center to surface)
- d
- Diameter — equals 2r
- π
- Pi — approximately 3.14159265…
Worked example — your numbers
- r = —
- r³ = —
- V = (4/3)π × r³ = —
- r² = —
- A = 4π × r² = —
- C = 2π × r = —
Every measurement on a sphere is tied to the radius. Because volume grows with r³ and surface with r², doubling the radius multiplies volume by 8× and surface by 4× — the source of the square-cube law that constrains everything from cell biology to engineering tolerances.
Common spheres for reference
Marble
r ≈ 0.8 cm · V ≈ 2.14 cm³
Golf ball
r ≈ 2.13 cm · V ≈ 40.7 cm³
Tennis ball
r ≈ 3.35 cm · V ≈ 157.5 cm³
Baseball
r ≈ 3.66 cm · V ≈ 205.3 cm³
Soccer ball
r ≈ 11 cm · V ≈ 5 575 cm³
Basketball
r ≈ 12 cm · V ≈ 7 238 cm³
Beach ball
r ≈ 30 cm · V ≈ 113 097 cm³
Moon
r ≈ 1 737 km · V ≈ 2.2 × 10¹⁰ km³
Earth
r ≈ 6 371 km · V ≈ 1.08 × 10¹² km³
Sun
r ≈ 696 340 km · V ≈ 1.41 × 10¹⁸ km³