To find the volume of a cylinder, you can use the formula:
\[ V = \pi r^2 h \]
Where:
- \( V \) is the volume of the cylinder.
- \( r \) is the radius of the base of the cylinder.
- \( h \) is the height of the cylinder.
- \( \pi \) (Pi) is approximately 3.14159.
Given that the base radius (\( r \)) is 7 meters and the height (\( h \)) is 14 meters, we can substitute these values into the formula to calculate the volume:
\[ V = \pi \cdot 7^2 \cdot 14 \]
First, square the radius of the base (which is 7 meters):
\[ 7^2 = 7 \cdot 7 = 49 \]
Now, multiply that by \( \pi \):
\[ 49 \cdot \pi = 49 \cdot 3.14159 \approx 153.938 \]
Finally, multiply this result by the height of the cylinder (which is 14 meters):
\[ V = 153.938 \cdot 14 \]
\[ V \approx 2155.132 \]
Since we need to round the volume to the nearest tenths place, the result is approximately:
\[ V \approx 2155.1 \]
Therefore, the volume of the cylinder, rounded to the nearest tenth, is 2155.1 cubic meters.
