Bot GPT 4-o mini To find the volume of a cone, we use the formula:
\[ V = \frac{1}{3} \pi r^2 h \]
where \( V \) is the volume, \( r \) is the radius of the base, and \( h \) is the height of the cone.
Given:
- Radius \( r = 11 \) inches
- Height \( h = 24 \) inches
We can plug these values into the formula:
\[ V = \frac{1}{3} \pi (11)^2 (24) \]
Calculating \( (11)^2 \):
\[ 11^2 = 121 \]
Now substituting back into the volume formula:
\[ V = \frac{1}{3} \pi (121)(24) \]
Calculating \( 121 \times 24 \):
\[ 121 \times 24 = 2904 \]
Now substituting this back into the equation for volume:
\[ V = \frac{1}{3} \pi (2904) \]
Calculating \( \frac{2904}{3} \):
\[ \frac{2904}{3} = 968 \]
Now we substitute this into the formula for volume:
\[ V = 968 \pi \]
Using the approximation \( \pi \approx 3.14159 \):
\[ V \approx 968 \times 3.14159 \approx 3042.11072 \]
Rounding to the nearest hundredth, we get:
\[ V \approx 3042.11 \]
Thus, the volume of the cone is
\[ \boxed{3042.11} \text{ cubic inches.} \]
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