To find the volume of a cylinder, including an oblique cylinder, we can use the formula:
\[ V = \pi r^2 h \]
where:
- \( V \) is the volume,
- \( r \) is the radius of the base,
- \( h \) is the height of the cylinder.
From the problem, we have:
- \( r = 3 \) cm (base radius),
- \( h = 6 \) cm (perpendicular height).
Now, substituting the values into the formula:
\[ V = 3.14 \times (3)^2 \times 6 \]
Calculating \( (3)^2 \):
\[ (3)^2 = 9 \]
Now, substituting this back into the volume formula:
\[ V = 3.14 \times 9 \times 6 \]
Calculating \( 9 \times 6 \):
\[ 9 \times 6 = 54 \]
So now we can calculate:
\[ V = 3.14 \times 54 \]
Now, performing the multiplication:
\[ 3.14 \times 54 = 169.56 \]
Thus, the volume of the oblique cylinder is:
\[ \boxed{169.56} \text{ cubic centimeters} \]