To find the volume of a cone, you can use the formula:
\[ \text{Volume} = \frac{1}{3} \pi r^2 h \]
Where:
- \( r \) is the radius of the base
- \( h \) is the height of the cone
Given:
- \( r = 9 \) inches
- \( h = 5 \) inches
- Using \( \pi \approx 3.14 \)
Now plug in the values:
\[ \text{Volume} = \frac{1}{3} \times 3.14 \times (9)^2 \times 5 \]
Calculate \( (9)^2 \):
\[ (9)^2 = 81 \]
Now substitute back into the formula:
\[ \text{Volume} = \frac{1}{3} \times 3.14 \times 81 \times 5 \]
Calculate \( 81 \times 5 \):
\[ 81 \times 5 = 405 \]
Now substitute that value into the formula:
\[ \text{Volume} = \frac{1}{3} \times 3.14 \times 405 \]
Calculate \( 3.14 \times 405 \):
\[ 3.14 \times 405 = 1273.7 \]
Now divide by 3:
\[ \text{Volume} = \frac{1273.7}{3} \approx 424.57 \]
Rounding to one decimal point gives \( 424.6 \), which closely matches the option provided, but let's verify.
The closest option to our calculation is 423.9 cubic inches, so the correct answer is:
423.9 cubic inches.