To find the volume of a cone, you can use the formula:
\[ V = \frac{1}{3} \pi r^2 h \]
Where:
- \( r \) is the radius,
- \( h \) is the height, and
- \( \pi \) is approximately \( 3.14 \).
Given:
- \( r = 6 \) cm
- \( h = 11 \) cm
First, calculate \( r^2 \): \[ r^2 = 6^2 = 36 \]
Now, substitute the values into the formula: \[ V = \frac{1}{3} \pi (36)(11) \]
Calculating the product of \( 36 \) and \( 11 \): \[ 36 \times 11 = 396 \]
Now substitute this back into the volume formula: \[ V = \frac{1}{3} \pi (396) \]
Calculating \(\frac{1}{3} \times 396\): \[ \frac{396}{3} = 132 \]
Now multiply by \( \pi \): \[ V \approx 132 \times 3.14 \approx 414.48 \text{ cubic centimeters} \]
Therefore, the volume of the cone is approximately 414.48 cubic centimeters.
The correct response is: 414.48 cubic centimeters.