To calculate the volume of a cylinder, you can use the formula:
\[ V = \pi r^2 h \]
where:
- \( V \) is the volume,
- \( r \) is the radius, and
- \( h \) is the height.
Given:
- The radius \( r = 3 \) cm,
- The height \( h = 5 \) cm,
- Using \( \pi \approx 3.14 \).
Now plug in the values:
\[ V = 3.14 \times (3^2) \times 5 \]
Calculating \( 3^2 \):
\[ 3^2 = 9 \]
Now substitute back into the volume formula:
\[ V = 3.14 \times 9 \times 5 \]
Calculating \( 9 \times 5 \):
\[ 9 \times 5 = 45 \]
Now multiply by \( 3.14 \):
\[ V = 3.14 \times 45 \]
Calculating \( 3.14 \times 45 \):
\[ 3.14 \times 45 = 141.3 \]
Thus, the volume of the cylinder is:
\[ \boxed{141.3} \text{ cubic centimeters} \]