To find the volume \( V \) of a cone, you can use 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.
In this case:
- \( r = 3 \) inches,
- \( h = 7 \) inches,
- \( \pi \approx 3.14 \).
Now, substitute the values into the formula:
\[ V = \frac{1}{3} \times 3.14 \times (3)^2 \times 7 \]
Calculating \( (3)^2 \):
\[ (3)^2 = 9 \]
Now substitute this value:
\[ V = \frac{1}{3} \times 3.14 \times 9 \times 7 \]
Calculate \( 9 \times 7 = 63 \):
\[ V = \frac{1}{3} \times 3.14 \times 63 \]
Now calculate \( 3.14 \times 63 \):
\[ 3.14 \times 63 = 197.82 \]
Now divide by 3:
\[ V = \frac{197.82}{3} \approx 65.94 \]
Therefore, the volume of the cone-shaped container is approximately
\[ \boxed{65.94} \text{ cubic inches.} \]