To find the volume of a sphere, you can use the formula:
\[ V = \frac{4}{3} \pi r^3 \]
where \( V \) is the volume and \( r \) is the radius of the sphere.
Given that the radius \( r = 3 \) m and using \( \pi \approx 3.14 \), we can substitute the values into the formula:
\[ V = \frac{4}{3} \times 3.14 \times (3)^3 \]
First, calculate \( (3)^3 \):
\[ (3)^3 = 27 \]
Now, substitute this back into the volume formula:
\[ V = \frac{4}{3} \times 3.14 \times 27 \]
Next, calculate \( \frac{4}{3} \times 27 \):
\[ \frac{4}{3} \times 27 = 36 \]
Now, multiply this result by \( 3.14 \):
\[ V = 36 \times 3.14 = 113.04 \]
Thus, the volume of the sphere is:
\[ \boxed{113.04 , \text{m}^3} \]