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,
- \( h \) is the height,
- \( \pi \) is approximately 3.14.
Given:
- Radius (\( r \)) = 4 meters,
- Height (\( h \)) = 7 meters.
Now plug in the values:
\[ V = 3.14 \times (4^2) \times 7 \]
First, calculate \( 4^2 \):
\[ 4^2 = 16 \]
Now, substitute that back into the volume formula:
\[ V = 3.14 \times 16 \times 7 \]
Next, calculate \( 16 \times 7 \):
\[ 16 \times 7 = 112 \]
Now, substitute this value into the volume formula:
\[ V = 3.14 \times 112 \]
Finally, perform the multiplication:
\[ V = 351.68 \]
Rounding to the nearest hundredth, the volume of the cylinder is:
\[ \boxed{351.68} \text{ cubic meters} \]
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