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. Express your answer as a decimal rounded to the nearest hundredth. (1 point)

Answer 1

To find the volume of a gas tank that is cylindrical in shape, we can use the formula for the volume of a cylinder:

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

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

1. First, we need to determine the radius of the tank. If the width of the tank is 6 feet, then the radius \( r \) is half of the width:

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

2. The height \( h \) is given as 8 feet.

3. Now, we can plug these values into the volume formula:

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

4. Calculate \( (3)^2 \):

\[
(3)^2 = 9
\]

5. Substitute \( 9 \) into the formula:

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

6. Calculate \( 9 \times 8 \):

\[
9 \times 8 = 72
\]

7. Substitute \( 72 \) back into the formula:

\[
V = 3.14 \times 72
\]

8. Now perform the multiplication:

\[
3.14 \times 72 = 226.08
\]

Thus, the volume of the gas tank is

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

This result is rounded to the nearest hundredth.