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 and \( h \) is the height.
Given:
- Radius \( r = 3 \) inches
- Height \( h = 7 \) inches
- \( \pi \approx 3.14 \)
Plugging in the values:
\[ V = \frac{1}{3} \times 3.14 \times (3)^2 \times 7 \]
Calculating \( (3)^2 \):
\[ (3)^2 = 9 \]
Now substituting \( 9 \) into the volume formula:
\[ V = \frac{1}{3} \times 3.14 \times 9 \times 7 \]
Calculating \( 9 \times 7 \):
\[ 9 \times 7 = 63 \]
Now substituting \( 63 \) back into the formula:
\[ V = \frac{1}{3} \times 3.14 \times 63 \]
Calculating \( 3.14 \times 63 \):
\[ 3.14 \times 63 \approx 197.82 \]
Now, finally dividing by 3:
\[ V \approx \frac{197.82}{3} \approx 65.94 \]
Therefore, the volume of coffee grounds the container can hold is approximately:
\[ \boxed{65.94} \text{ cubic inches} \]