To find the volume of a cylinder, you can use the formula:
\[ V = \pi r^2 h \]
where:
- \( V \) is the volume,
- \( r \) is the radius of the base,
- \( h \) is the height of the cylinder.
In this case, you have:
- Radius \( r = 4 \) meters,
- Height \( h = 7 \) meters,
- \( \pi \approx 3.14 \).
Now, plug the values into the formula:
\[ V = 3.14 \times (4)^2 \times 7 \]
First, calculate \( (4)^2 \):
\[ (4)^2 = 16 \]
Now substitute back into the volume formula:
\[ V = 3.14 \times 16 \times 7 \]
Calculate \( 16 \times 7 \):
\[ 16 \times 7 = 112 \]
Now calculate the volume:
\[ V = 3.14 \times 112 \]
Now perform the multiplication:
\[ V = 351.68 \]
Finally, rounding to the nearest hundredth gives:
\[ V \approx 351.68 \text{ cubic meters} \]
So, the volume of the cylinder is approximately \( \text{351.68 cubic meters} \).