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:

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