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 of the base of the cone, and \( h \) is the height of the cone.
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First, calculate the radius:
- Since the diameter is 24 feet, the radius \( r \) is: \[ r = \frac{\text{diameter}}{2} = \frac{24}{2} = 12 \text{ feet} \]
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Next, plug the values into the volume formula:
- We know \( \pi = 3.14 \) and \( h = 60 \) feet. \[ V = \frac{1}{3} \times 3.14 \times (12)^2 \times 60 \]
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Calculate \( (12)^2 \): \[ (12)^2 = 144 \]
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Now substitute this back into the volume equation: \[ V = \frac{1}{3} \times 3.14 \times 144 \times 60 \]
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Calculate \( 144 \times 60 \): \[ 144 \times 60 = 8640 \]
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Now, substitute this value back: \[ V = \frac{1}{3} \times 3.14 \times 8640 \]
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Calculate \( 3.14 \times 8640 \): \[ 3.14 \times 8640 = 27169.6 \]
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Finally, divide by 3: \[ V = \frac{27169.6}{3} \approx 9056.53 \]
Therefore, the volume of the cone is approximately:
\[ \boxed{9056.53} \text{ cubic feet} \]