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,
- \( h \) is the height,
- \( \pi \) is approximately 3.14.
Given:
- The diameter of the cone is 12 cm, so the radius \( r \) will be half of that: \[ r = \frac{12}{2} = 6 , \text{cm} \]
- The height \( h \) is given as 11 cm.
Now, substituting the values into the volume formula:
\[ V = \frac{1}{3} \pi (6)^2 (11) \]
Calculating \( (6)^2 \):
\[ (6)^2 = 36 \]
Now substituting this value back into the formula:
\[ V = \frac{1}{3} \pi (36) (11) \] \[ V = \frac{1}{3} \pi (396) \]
Now calculating \( \frac{396}{3} \):
\[ \frac{396}{3} = 132 \]
So now we have:
\[ V = 132\pi \]
Using \( \pi \approx 3.14 \):
\[ V \approx 132 \times 3.14 \approx 414.48 , \text{cubic centimeters} \]
Thus, the volume of the cone is approximately 414.48 cubic centimeters.
The correct response is 414.48 cubic centimeters.