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:
- Height \( h = 11 \)
- Radius \( r = 6 \)
Substituting the values into the formula:
\[ V = \frac{1}{3} \pi (6)^2 (11) \]
Calculating \( (6)^2 \):
\[ (6)^2 = 36 \]
Now substitute that back into the equation:
\[ V = \frac{1}{3} \pi (36) (11) \]
Calculating \( 36 \times 11 \):
\[ 36 \times 11 = 396 \]
Now substitute that into the volume formula:
\[ V = \frac{1}{3} \pi (396) \]
Now, calculating \( \frac{396}{3} \):
\[ \frac{396}{3} = 132 \]
So, the volume of the cone is:
\[ V = 132\pi \text{ cubic units} \]
The correct response is:
132π cubic units.
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