Question

Question
A gas tank has a height of 8 feet and a width of 6 feet. What is the volume, in cubic feet, of the gas tank? Use 3.14 for pi.

Answer 1

To find the volume of the gas tank, we need to determine its shape. If the gas tank is cylindrical, we will use the formula for the volume of a cylinder, which is:

\[
V = \pi r^2 h
\]

where:
- \( V \) is the volume,
- \( r \) is the radius of the base,
- \( h \) is the height of the cylinder.

From the question, we are given the height \( h = 8 \) feet. The width of the tank is 6 feet, which indicates the diameter of the base. To find the radius, we divide the diameter by 2:

\[
r = \frac{6}{2} = 3 \text{ feet}
\]

Now we can substitute the values into the volume formula:

\[
V = \pi r^2 h = 3.14 \times (3)^2 \times 8
\]

Calculating \( (3)^2 \):

\[
(3)^2 = 9
\]

Now substitute back into the volume formula:

\[
V = 3.14 \times 9 \times 8
\]

Calculating \( 9 \times 8 \):

\[
9 \times 8 = 72
\]

So now we have:

\[
V = 3.14 \times 72
\]

Calculating \( 3.14 \times 72 \):

\[
V = 226.08
\]

Thus, the volume of the gas tank is:

\[
\boxed{226.08} \text{ cubic feet}
\]