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 of the base of the cone,
- \( h \) is the height of the cone,
- \( \pi \) is a constant (approximately 3.14).
Given:
- Radius \( r = 5 \) inches
- Height \( h = 9 \) inches
- Using \( \pi \approx 3.14 \)
Now plug in the values:
\[ V = \frac{1}{3} \times 3.14 \times (5)^2 \times 9 \]
Calculating \( (5)^2 \):
\[ (5)^2 = 25 \]
Now substitute that back into the formula:
\[ V = \frac{1}{3} \times 3.14 \times 25 \times 9 \]
Next, calculate \( 25 \times 9 \):
\[ 25 \times 9 = 225 \]
Now substitute that in:
\[ V = \frac{1}{3} \times 3.14 \times 225 \]
Now multiply \( 3.14 \) and \( 225 \):
\[ 3.14 \times 225 = 706.5 \]
Now divide by \( 3 \):
\[ V = \frac{706.5}{3} = 235.5 \]
So, the volume of the cone is approximately \( 235.5 \) cubic inches.