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 calculate the volume of a gas tank in the shape of a cylinder, you can use the formula for the volume of a cylinder:

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

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

In this case, the height \( h \) of the gas tank is given as 8 feet. The width of the tank is 6 feet, which is the diameter of the base. To find the radius \( r \), you divide the diameter by 2:

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

Now, plug the values into the volume formula:

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

Calculating \( (3)^2 \):

\[
(3)^2 = 9
\]

Now substituting back into the formula:

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

Now calculate \( 9 \times 8 \):

\[
9 \times 8 = 72
\]

Now substituting that value:

\[
V = 3.14 \times 72
\]

Finally, calculating:

\[
V = 226.08
\]

Thus, the volume of the gas tank is:

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