To find the volume of the cone, you can use the formula for the volume of a cone:
\[ V = \frac{1}{3} \pi r^2 h \]
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:
- The base radius \( r = 9 \) inches,
- The height \( h = 5 \) inches.
Now plug in the values into the formula:
\[ V = \frac{1}{3} \times 3.14 \times (9)^2 \times 5 \]
Calculating \( (9)^2 \): \[ (9)^2 = 81 \]
So the formula becomes:
\[ V = \frac{1}{3} \times 3.14 \times 81 \times 5 \]
Calculating \( 81 \times 5 \): \[ 81 \times 5 = 405 \]
Now substitute back:
\[ V = \frac{1}{3} \times 3.14 \times 405 \]
Calculating \( 3.14 \times 405 \): \[ 3.14 \times 405 = 1277.7 \]
Now divide by 3:
\[ V = \frac{1277.7}{3} \approx 425.9 \]
Given the available options:
- 942 cubic inches
- 423.9 cubic inches
- 47.1 cubic inches
- 235.5 cubic inches
The closest to our calculated volume of \( 425.9 \) cubic inches is 423.9 cubic inches. Therefore, the answer is:
423.9 cubic inches.