To find the volume of a cone, you can use the formula:
\[ V = \frac{1}{3} \pi r^2 h \]
where:
- \( V \) is the volume,
- \( r \) is the radius of the base of the cone,
- \( h \) is the height of the cone,
- \( \pi \) is approximately 3.14.
Given:
- The radius \( r = 3 \) inches,
- The height \( h = 7 \) inches.
Plugging in the values:
\[ V = \frac{1}{3} \times 3.14 \times (3^2) \times 7 \]
Calculating \( 3^2 \):
\[ 3^2 = 9 \]
Now substitute back into the volume formula:
\[ V = \frac{1}{3} \times 3.14 \times 9 \times 7 \]
Calculating \( 9 \times 7 \):
\[ 9 \times 7 = 63 \]
Now substitute again:
\[ V = \frac{1}{3} \times 3.14 \times 63 \]
Calculating \( 3.14 \times 63 \):
\[ 3.14 \times 63 \approx 197.82 \]
Now divide by 3:
\[ V \approx \frac{197.82}{3} \approx 65.94 \]
Rounding to the nearest hundredth, the volume of coffee grounds the container can hold is:
\[ \boxed{65.94} \text{ cubic inches} \]