To find the volume of a cylinder, you 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.
Given:
- Radius (\( r \)) = 3 cm
- Height (\( h \)) = 5 cm
- \( \pi \) ≈ 3.14
Now, substitute the values into the formula:
\[ V = 3.14 \times (3^2) \times 5 \]
First, calculate \( 3^2 \):
\[ 3^2 = 9 \]
Now substitute this back into the equation:
\[ V = 3.14 \times 9 \times 5 \]
Calculate \( 9 \times 5 \):
\[ 9 \times 5 = 45 \]
Now substitute this back into the equation:
\[ V = 3.14 \times 45 \]
Now multiply:
\[ 3.14 \times 45 = 141.3 \]
Thus, the volume of the cylinder is approximately \( 141.3 \) cubic centimeters.
Rounded to the nearest tenth, the volume is:
\[ \boxed{141.3} , \text{cm}^3 \]