To find the volume of a cylinder, you can use the formula:
\[ \text{Volume} = \pi r^2 h \]
where \( r \) is the radius and \( h \) is the height.
In this case, the base radius \( r \) is 3 centimeters and the height \( h \) is 5 centimeters.
Now plug in the values:
\[ \text{Volume} = 3.14 \times (3)^2 \times 5 \]
Calculating \( (3)^2 \):
\[ (3)^2 = 9 \]
Now substitute this back into the volume equation:
\[ \text{Volume} = 3.14 \times 9 \times 5 \]
Calculating \( 9 \times 5 \):
\[ 9 \times 5 = 45 \]
Now substitute this back:
\[ \text{Volume} = 3.14 \times 45 \]
Now calculate \( 3.14 \times 45 \):
\[ 3.14 \times 45 = 141.3 \]
So the volume of the cylinder is \( 141.3 \) cubic centimeters.
Rounding to the nearest tenth, the final answer is:
\[ \text{Volume} = 141.3 \text{ cubic centimeters} \]