To find the volume of a cone, we use the formula:
\[ V = \frac{1}{3} \pi r^2 h \]
where:
- \( V \) is the volume,
- \( r \) is the radius of the base,
- \( h \) is the height of the cone,
- \( \pi \) is approximately 3.14.
Given:
- Radius \( r = 9 \) inches
- Height \( h = 5 \) inches
Now, we can substitute these values into the formula:
\[ V = \frac{1}{3} \times 3.14 \times (9^2) \times 5 \]
Calculating \( 9^2 \):
\[ 9^2 = 81 \]
Now substituting this back into the volume formula:
\[ V = \frac{1}{3} \times 3.14 \times 81 \times 5 \]
Calculating \( 81 \times 5 \):
\[ 81 \times 5 = 405 \]
Now substituting:
\[ V = \frac{1}{3} \times 3.14 \times 405 \]
Calculating \( 3.14 \times 405 \):
\[ 3.14 \times 405 = 1277.7 \]
Now substituting back into the volume formula:
\[ V = \frac{1}{3} \times 1277.7 \]
Calculating:
\[ \frac{1277.7}{3} = 425.9 \]
This rounds to:
\[ V \approx 423.9 \text{ cubic inches} \]
Thus, the volume of the cone is approximately 423.9 cubic inches.