To find the volume of the cylinder, we can use the formula for the volume of a cylinder:
\[ V = \pi r^2 h \]
where \( V \) is the volume, \( r \) is the radius of the base, and \( h \) is the height.
In this case:
- The radius \( r = 3 \) cm
- The height \( h = 6 \) cm
- We will use \( \pi \approx 3.14 \)
Now we can substitute the values into the formula:
\[ V = 3.14 \times (3)^2 \times (6) \]
First, calculate \( (3)^2 \):
\[ (3)^2 = 9 \]
Now substitute that into the volume formula:
\[ V = 3.14 \times 9 \times 6 \]
Now multiply \( 9 \times 6 \):
\[ 9 \times 6 = 54 \]
Now substitute that back into the volume formula:
\[ V = 3.14 \times 54 \]
Now calculate \( 3.14 \times 54 \):
\[ V = 169.56 \text{ cubic centimeters} \]
Therefore, the volume of the cylinder is 169.56 cubic centimeters.
So the answer is:
169.56 cubic centimeters.