To find the volume of the cylinder, you can use the formula:
\[ \text{Volume} = \pi r^2 h \]
where:
- \( r \) is the radius of the cylinder,
- \( h \) is the height of the cylinder,
- \( \pi \) is approximately 3.14.
From the information provided:
- The height \( h \) of the cylinder is 8 cm.
- The diameter of the cylinder is given as 6 cm, which means the radius \( r \) is half of that:
\[ r = \frac{6 \text{ cm}}{2} = 3 \text{ cm}. \]
Now, substitute the values into the volume formula:
\[ \text{Volume} = 3.14 \times (3 \text{ cm})^2 \times 8 \text{ cm}. \]
First, calculate \( (3 \text{ cm})^2 \):
\[ (3 \text{ cm})^2 = 9 \text{ cm}^2. \]
Now plug this back into the volume formula:
\[ \text{Volume} = 3.14 \times 9 \text{ cm}^2 \times 8 \text{ cm} = 3.14 \times 72 \text{ cm}^3. \]
Now, perform the multiplication:
\[ 3.14 \times 72 = 226.08 \text{ cm}^3. \]
Thus, the volume of the cylinder is:
\[ \text{Volume} \approx 226.08 \text{ cm}^3. \]