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,
- \( \pi \) (pi) is approximately 3.14 for this calculation.
Given:
- Height (h) = 7 m
- Radius (r) = 4 m
Now, plug in the values:
\[ V = 3.14 \times (4)^2 \times 7 \]
Calculating \( (4)^2 \):
\[ (4)^2 = 16 \]
Now substitute back into the volume formula:
\[ V = 3.14 \times 16 \times 7 \]
Next, calculate \( 16 \times 7 \):
\[ 16 \times 7 = 112 \]
Now substitute that back into the volume formula:
\[ V = 3.14 \times 112 \]
Calculating \( 3.14 \times 112 \):
\[ V = 351.68 \]
Finally, rounding to the nearest hundredth:
\[ \text{Volume} = 351.68 , \text{cubic meters} \]
Thus, the volume of the cylinder is 351.68 cubic meters.