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.
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First, calculate the radius from the diameter:
- Diameter = 12 cm, so Radius \( r = \frac{12}{2} = 6 \) cm.
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Next, substitute the radius and height into the formula:
- Height \( h = 11 \) cm.
- Volume \( V = \frac{1}{3} \pi (6^2)(11) \).
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Calculate \( 6^2 \): \[ 6^2 = 36 \]
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Now plug the values into the volume formula: \[ V = \frac{1}{3} \pi (36)(11) \] \[ V = \frac{1}{3} \pi (396) \] \[ V = 132 \pi \]
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Using \( \pi \approx 3.14 \): \[ V \approx 132 \times 3.14 \approx 414.48 , \text{cubic centimeters} \]
So, the volume of the cone is approximately 414.48 cubic centimeters.