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 \( r \) is 3 m, and using \( \pi \approx 3.14 \), we can plug in the values:
\[ V = \frac{4}{3} \times 3.14 \times (3)^3 \]
First, calculate \( (3)^3 \):
\[ (3)^3 = 27 \]
Now substitute that back into the formula:
\[ V = \frac{4}{3} \times 3.14 \times 27 \]
Next, calculate \( \frac{4}{3} \times 27 \):
\[ \frac{4 \times 27}{3} = \frac{108}{3} = 36 \]
Now multiply by \( 3.14 \):
\[ V = 36 \times 3.14 = 113.04 \]
Thus, the volume of the sphere is approximately:
\[ \boxed{113.04} \text{ m}^3 \]