To calculate the volume of a cylinder, you can use the formula:
\[ \text{Volume} = \pi r^2 h \]
Where:
- \( r \) is the radius of the base,
- \( h \) is the height of the cylinder,
- \( \pi \approx 3.14 \).
In this case, the radius \( r \) is 4 meters and the height \( h \) is 7 meters. Now, plug in the values:
\[ \text{Volume} = 3.14 \times (4)^2 \times 7 \]
Calculating \( 4^2 \):
\[ 4^2 = 16 \]
Now substitute it back into the formula:
\[ \text{Volume} = 3.14 \times 16 \times 7 \]
Calculating \( 16 \times 7 \):
\[ 16 \times 7 = 112 \]
Now substitute this value back into the formula:
\[ \text{Volume} = 3.14 \times 112 \]
Now, perform the multiplication:
\[ 3.14 \times 112 = 351.68 \]
Therefore, the volume of the cylinder is \( 351.68 \) cubic meters.
Rounding to the nearest hundredth, the final answer is:
\[ \text{Volume} \approx 351.68 \text{ cubic meters} \]