R=3m. Calculate the volume of the sphere. Round to the nearest tenth if necessary

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 .