To calculate the volume of a cone, you can use the formula:
\[ V = \frac{1}{3} \pi r^2 h \]
where:
- \( V \) is the volume,
- \( r \) is the radius of the base,
- \( h \) is the height of the cone.
Given:
- The diameter of the cone is 4 meters, so the radius \( r \) is \( \frac{4}{2} = 2 \) meters.
- The height \( h \) is 6 meters.
- Using \( \pi \approx 3.14 \).
Now substituting the values into the formula:
\[ V = \frac{1}{3} \times 3.14 \times (2)^2 \times 6 \] \[ V = \frac{1}{3} \times 3.14 \times 4 \times 6 \] \[ V = \frac{1}{3} \times 3.14 \times 24 \] \[ V = \frac{76.56}{3} \approx 25.52 \]
Calculating that gives:
\[ V \approx 25.52 \text{ cubic meters} \]
It seems that the choices given do not exactly match the calculated volume. Double-checking we find:
- If we made a calculation error, repeating from \( 3.14 \times 24 = 76.56 \).
- Dividing \( 76.56 \) by \( 3 \) gives approximately \( 25.52 \).
None of the responses exactly matches this calculation; however, the closest option would be 25.12 cubic meters.
So, the answer is:
25.12 cubic meters.
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