To find the volume \( V \) of a cylinder, you can use the formula:
\[ V = \pi r^2 h \]
where:
- \( r \) is the radius of the cylinder
- \( h \) is the height of the cylinder
- \( \pi \) is a mathematical constant approximately equal to 3.14159
Given:
- Radius \( r = 3 \) cm
- Height \( h = 6 \) cm
Plugging in the values:
\[ V = \pi (3 , \text{cm})^2 (6 , \text{cm}) \]
\[ V = \pi (9 , \text{cm}^2) (6 , \text{cm}) \]
\[ V = \pi \times 54 , \text{cm}^3 \]
Now, approximating \( \pi \) as 3.14:
\[ V \approx 3.14 \times 54 , \text{cm}^3 \]
\[ V \approx 169.56 , \text{cm}^3 \]
Thus, the volume of the cylinder is approximately \( 169.56 , \text{cm}^3 \).