Sphere Volume With Radius 5: Solved Problem & Step Proof

The Benchmark Radius = 5 Problem

Radius 5 is the most frequently tested sphere problem on middle and high school geometry exams:

1. Cube 5: $5 imes 5 imes 5 = 125$.
2. Multiply by 4: $4 imes 125 = 500$.
3. Divide by 3: $rac{500}{3}\pi ext{ units}^3$ (Exact).
4. Multiply by $\pi \approx 3.14159265$: $\mathbf{523.59878} ext{ units}^3$.