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 of the base,
- \( h \) is the height,
- \( \pi \) is approximately 3.14.
Given:
- \( r = 5 \) cm,
- \( h = 9 \) cm,
- \( \pi \approx 3.14 \).
Now, plug in the values:
\[ V = \frac{1}{3} \times 3.14 \times (5)^2 \times 9 \]
First, calculate \( (5)^2 \):
\[ (5)^2 = 25 \]
Now substitute back into the volume formula:
\[ V = \frac{1}{3} \times 3.14 \times 25 \times 9 \]
Now calculate \( 25 \times 9 \):
\[ 25 \times 9 = 225 \]
Now substitute this value in:
\[ V = \frac{1}{3} \times 3.14 \times 225 \]
Next, calculate \( 3.14 \times 225 \):
\[ 3.14 \times 225 = 706.5 \]
Finally, divide by 3:
\[ V = \frac{706.5}{3} \approx 235.5 \]
Thus, the volume of the cone is approximately 235.5 cubic centimeters.