The volume \( V \) of a cylinder can be calculated using the formula:
\[ V = \pi r^2 h \]
where \( r \) is the radius of the base, \( h \) is the height of the cylinder, and \( \pi \) is a constant (which we can approximate as 3.14 for this calculation).
Given:
- Base radius \( r = 3 \) cm
- Perpendicular height \( h = 6 \) cm
Now, plug the values into the formula:
\[ V = 3.14 \times (3^2) \times 6 \]
First, calculate \( 3^2 \):
\[ 3^2 = 9 \]
Now substitute back into the volume formula:
\[ V = 3.14 \times 9 \times 6 \]
Next, calculate \( 9 \times 6 \):
\[ 9 \times 6 = 54 \]
Now substitute this value back into the volume formula:
\[ V = 3.14 \times 54 \]
Now perform the multiplication:
\[ V = 169.56 \]
Thus, the volume of the cylinder is:
\[ \boxed{169.56} \text{ cubic centimeters.} \]