📑 Table of Contents
Quick Navigation
Step-by-Step Calculation Procedure
To calculate the volume of any sphere with precision, follow these four chronological steps:
- Determine the Radius: Measure or identify radius $. If given diameter $, divide by 2 ( = d / 2$). If given circumference $, divide by $2\pi$ ( = C / 2\pi$).
- Cube the Radius: Multiply the radius by itself three times: ^3 = r imes r imes r$.
- Multiply by Pi (π): Multiply the cubed value by $\pi \approx 3.14159265$.
- Apply the ⁴⁄₃ Constant: Multiply by 4, then divide the entire result by 3.
Worked Problem: Solving for Radius = 4.5 cm
| Step | Mathematical Operation | Calculated Working | Step Output |
|---|---|---|---|
| 1 | Cube radius | 4.5 × 4.5 × 4.5 | 91.125 |
| 2 | Multiply by 4 | 4 × 91.125 | 364.5 |
| 3 | Divide by 3 | 364.5 / 3 | 121.5π cm³ (Exact) |
| 4 | Decimal with π | 121.5 × 3.14159265 | ≈ 381.70 cm³ |