To find the volume of a gas tank in the shape 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 of the cylinder,
- \( h \) is the height of the cylinder.
Given that the height \( h \) is 8 feet and the width of the tank is 6 feet, we can find the radius:
\[ r = \frac{ \text{width} }{ 2 } = \frac{6}{2} = 3 \text{ feet} \]
Now substitute the values into the volume formula:
\[ V = 3.14 \times (3)^2 \times 8 \]
Calculating \( (3)^2 \):
\[ (3)^2 = 9 \]
Now plug that into the volume equation:
\[ V = 3.14 \times 9 \times 8 \]
Calculating \( 9 \times 8 \):
\[ 9 \times 8 = 72 \]
Now substitute that back into the volume equation:
\[ V = 3.14 \times 72 \]
Now we calculate \( 3.14 \times 72 \):
\[ 3.14 \times 72 = 226.08 \]
Thus, the volume of the gas tank is:
\[ \boxed{226.08} \text{ cubic feet} \]