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, and
- \( h \) is the height.
From your information:
- The height (h) is given as 12 meters.
- The side (which I assume is the diameter) is 6.4 meters. To find the radius (r), divide the diameter by 2:
\[ r = \frac{6.4}{2} = 3.2 \text{ meters} \]
Now, we can plug the values into the volume formula. Using \( \pi \approx 3.14 \):
\[ V = 3.14 \times (3.2)^2 \times 12 \]
First, calculate \( (3.2)^2 \):
\[ (3.2)^2 = 10.24 \]
Now, plug that into the volume formula:
\[ V = 3.14 \times 10.24 \times 12 \]
Calculate \( 3.14 \times 10.24 \):
\[ 3.14 \times 10.24 \approx 32.20 \]
Now multiply by 12:
\[ V \approx 32.20 \times 12 \approx 386.4 \]
Given the options you provided, it seems the calculations yielded a volume that does not match any of the provided responses. Please double-check the dimensions provided for clarity.
If 6.4 meters indeed refers to the diameter and 12 meters is the height, the correct calculation should yield a volume of approximately 386.4 cubic meters. If you meant different dimensions, please clarify, and I'll be happy to help.