To find the volume of a cylinder, you can use the formula:
\[ \text{Volume} = \pi r^2 h \]
where \( r \) is the radius of the base and \( h \) is the height.
In your case:
- The height \( h = 5 \) cm
- The radius \( r = 3 \) cm
Plugging in the values, we calculate:
\[ \text{Volume} = 3.14 \times (3)^2 \times 5 \]
Calculating \( (3)^2 \):
\[ (3)^2 = 9 \]
Now substituting this back in:
\[ \text{Volume} = 3.14 \times 9 \times 5 \]
Calculating \( 9 \times 5 \):
\[ 9 \times 5 = 45 \]
Now substituting again:
\[ \text{Volume} = 3.14 \times 45 \]
Calculating this gives:
\[ \text{Volume} = 141.3 , \text{cm}^3 \]
Rounding to the nearest tenth, the volume of the cylinder is:
\[ \boxed{141.3} , \text{cubic centimeters} \]