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, and \( h \) is the height of the cylinder.
From the information provided, you have:
- Diameter of the cylinder = 6 in.
- Height of the cylinder = 8 in.
First, we need to find the radius, which is half of the diameter:
\[ r = \frac{6 \text{ in}}{2} = 3 \text{ in} \]
Now, we can substitute the radius and height into the volume formula:
\[ V = \pi (3 \text{ in})^2 (8 \text{ in}) \]
Calculating \( (3 \text{ in})^2 \):
\[ (3 \text{ in})^2 = 9 \text{ in}^2 \]
Now substitute back into the volume equation:
\[ V = \pi (9 \text{ in}^2) (8 \text{ in}) = 72\pi \text{ in}^3 \]
Thus, the volume of the cylinder is:
\[ \boxed{72\pi \text{ in}^3} \]