To calculate the volume of a cone, we can use the formula:
\[ V = \frac{1}{3} \pi r^2 h \]
where \( r \) is the radius of the base, and \( h \) is the height of the cone.
Given:
- Base radius \( r = 9 \) inches
- Perpendicular height \( h = 5 \) inches
- Use \( \pi \approx 3.14 \)
Substituting the values into the formula:
\[ V = \frac{1}{3} \times 3.14 \times (9^2) \times 5 \]
Calculating \( 9^2 \):
\[ 9^2 = 81 \]
Now substitute this value back into the equation:
\[ V = \frac{1}{3} \times 3.14 \times 81 \times 5 \]
Calculating \( 81 \times 5 \):
\[ 81 \times 5 = 405 \]
Now substitute this value back into the volume equation:
\[ V = \frac{1}{3} \times 3.14 \times 405 \]
Calculating \( \frac{1}{3} \times 405 \):
\[ \frac{405}{3} = 135 \]
Now substitute this back into the volume formula:
\[ V = 3.14 \times 135 \]
Calculating this gives:
\[ V = 423.9 \text{ cubic inches} \]
Therefore, the volume of the cone is 423.9 cubic inches.