The volume \( V \) of a cone can be calculated using the formula:
\[ V = \frac{1}{3} \pi r^2 h \]
where \( r \) is the radius and \( h \) is the height of the cone.
Given:
- Radius \( r = 6 \)
- Height \( h = 11 \)
Now, plug the values into the formula:
\[ V = \frac{1}{3} \pi (6^2) (11) \]
Calculate \( 6^2 \):
\[ V = \frac{1}{3} \pi (36) (11) \]
Now multiply \( 36 \) and \( 11 \):
\[ 36 \times 11 = 396 \]
Now substitute back into the volume formula:
\[ V = \frac{1}{3} \pi (396) \]
Now divide by 3:
\[ \frac{396}{3} = 132 \]
Thus, the volume of the cone is:
\[ V = 132\pi \text{ cubic units} \]
The answer is:
132π cubic units