To calculate the volume \( V \) of a cylinder, you can use the formula:
\[ V = B \cdot H \]
where \( B \) is the area of the base and \( H \) is the height. For a cylinder with a circular base, the area \( B \) is given by:
\[ B = \pi r^2 \]
In your case, the radius \( r \) is 3 cm, and the height \( H \) is 8 cm.
- Calculate the area of the base \( B \):
Using the approximation \( \pi \approx 3.14 \):
\[ B = \pi r^2 = 3.14 \cdot (3 , \text{cm})^2 \]
Calculating \( (3 , \text{cm})^2 \):
\[ (3 , \text{cm})^2 = 9 , \text{cm}^2 \]
Now substitute:
\[ B \approx 3.14 \cdot 9 , \text{cm}^2 = 28.26 , \text{cm}^2 \]
- Calculate the volume \( V \):
Now substitute the area of the base \( B \) and the height \( H \) into the volume formula:
\[ V = B \cdot H = 28.26 , \text{cm}^2 \cdot 8 , \text{cm} \]
Calculating this:
\[ V \approx 28.26 \cdot 8 = 226.08 , \text{cm}^3 \]
Thus, the volume of the cylinder, rounded to the nearest hundredth, is approximately:
\[ \boxed{226.08} , \text{cm}^3 \]