To find the volume of a cylinder (the shape of the can), you can use the formula:
\[ V = \pi r^2 h \]
where:
- \( V \) is the volume,
- \( r \) is the radius,
- \( h \) is the height,
- and \( \pi \) is approximately 3.14.
Given:
- Height \( h = 6 \) inches,
- Radius \( r = 3 \) inches,
- \( \pi \approx 3.14 \).
Now, substitute the values into the formula:
\[ V = 3.14 \times (3)^2 \times 6 \]
First, calculate \( (3)^2 \):
\[ (3)^2 = 9 \]
Now, substitute that back into the volume formula:
\[ V = 3.14 \times 9 \times 6 \]
Next, calculate \( 9 \times 6 \):
\[ 9 \times 6 = 54 \]
Now multiply by \( 3.14 \):
\[ V = 3.14 \times 54 \]
Finally, performing the multiplication:
\[ V = 169.56 \]
Thus, the volume of the can is \( \boxed{169.56} \) cubic inches.