To find 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, and \( h \) is the height of the cone.
Given:
- Diameter = 4 meters, thus the radius \( r \) = \( \frac{4}{2} = 2 \) meters
- Height \( h \) = 6 meters
- Use \( \pi \) = 3.14
Now, plug in the values into the formula:
\[ V = \frac{1}{3} \times 3.14 \times (2^2) \times 6 \]
Calculating \( r^2 \):
\[ r^2 = 2^2 = 4 \]
Now substitute back into the equation:
\[ V = \frac{1}{3} \times 3.14 \times 4 \times 6 \]
Calculating further:
\[ V = \frac{1}{3} \times 3.14 \times 24 \]
\[ V = \frac{1}{3} \times 75.36 \]
\[ V = 25.12 \text{ cubic meters} \]
Therefore, the volume of sand needed to fill the mold is 25.12 cubic meters.
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