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Direct Radius Formula
When radius $ is already known, volume is solved directly with = ⁴⁄₃\pi r^3$. Radius is the most natural geometric parameter because it defines the sphere in polar and spherical coordinate systems.
Table of Sphere Volumes for Radii 1 to 10
| Radius (r) | Exact Volume (with π) | Decimal Volume | Surface Area (4πr²) |
|---|---|---|---|
| 1 | 1.33π | 4.19 | 12.57 |
| 2 | 10.67π | 33.51 | 50.27 |
| 3 | 36.00π | 113.10 | 113.10 |
| 4 | 85.33π | 268.08 | 201.06 |
| 5 | 166.67π | 523.60 | 314.16 |
| 10 | 1333.33π | 4,188.79 | 1,256.64 |