1. The formula for the volume of a sphere is V = \frac{4}{3} \pi R^3 .
2. Substitute the given radius R = 3 \, \text{m} into the formula:
V = \frac{4}{3} \pi (3)^3
3. Calculate 3^3 = 27 .
4. Thus, the volume becomes:
V = \frac{4}{3} \pi \times 27
5. Simplify the expression:
V = \frac{4 \times 27}{3} \pi = 36 \pi
6. Use the approximation \pi \approx 3.1416 :
V \approx 36 \times 3.1416
7. Calculate the approximate volume:
V\approx113.0973
8. Round to the nearest tenth:
V \approx 113.1 \, \text{m}^3
Therefore, the volume of the sphere is approximately 113.1 \, \text{m}^3 .