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,
- \( h \) is the height.
Given:
- The diameter of the cone is 12 cm, so the radius \( r \) is half of the diameter: \[ r = \frac{12}{2} = 6 \text{ cm} \]
- The height \( h \) is given as 11 cm.
Now, substituting the values into the volume formula:
\[ V = \frac{1}{3} \pi (6)^2 (11) \] \[ V = \frac{1}{3} \pi (36) (11) \] \[ V = \frac{1}{3} \pi (396) \] \[ V = 132 \pi \approx 132 \times 3.14 \approx 415.68 \text{ cubic centimeters} \]
So the closest option to this calculation is:
414.48 cubic centimeters.