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 and \( h \) is the height of the cone.
Given:
- Radius \( r = 5 \) inches
- Height \( h = 9 \) inches
Now, substitute the values into the formula:
\[ V = \frac{1}{3} \pi (5)^2 (9) \]
Calculating \( (5)^2 \):
\[ (5)^2 = 25 \]
Now, multiply this by the height:
\[ 25 \times 9 = 225 \]
Now, substitute back into the formula:
\[ V = \frac{1}{3} \pi (225) \]
Now divide by 3:
\[ V = 75\pi \]
To get a numerical approximation, we can use \( \pi \approx 3.14 \):
\[ V \approx 75 \times 3.14 \approx 235.5 \]
Thus, the volume of the cone is approximately \( 235.5 \) cubic inches, or exactly \( 75\pi \) cubic inches.