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 of the cone.
In this case, the radius \( r = 3 \) inches and the height \( h = 7 \) inches. Substituting these values into the formula:
\[ V = \frac{1}{3} \times 3.14 \times (3^2) \times 7 \]
First, calculate \( 3^2 \):
\[ 3^2 = 9 \]
Now substitute that back into the volume formula:
\[ V = \frac{1}{3} \times 3.14 \times 9 \times 7 \]
Now calculate \( 9 \times 7 \):
\[ 9 \times 7 = 63 \]
Then, substitute this into the formula:
\[ V = \frac{1}{3} \times 3.14 \times 63 \]
Now calculate \( 3.14 \times 63 \):
\[ 3.14 \times 63 = 197.82 \]
Finally, divide this by 3 to find the volume:
\[ V = \frac{197.82}{3} \approx 65.94 \]
Thus, the volume of the coffee grounds the container can hold is approximately
\[ \boxed{65.94} \text{ cubic inches.} \]