A gas tank has a height of 8 feet and a width of 6 feet. What is the volume, cubic feet, of the gas tank? Use 3.14 for pi. Express your answer as a decimal rounded to the nearest hundredth.

1 answer

To calculate the volume of the gas tank, which is in the shape of a cylinder, 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, \( h \) is the height, and \( \pi \) is approximately 3.14.

Given:

  • The height \( h = 8 \) feet
  • The width (diameter) is 6 feet, so the radius \( r \) is half of the diameter:

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

Now, we can substitute 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 volume formula:

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

Calculating \( 9 \times 8 \):

\[ 9 \times 8 = 72 \]

Now, we calculate the volume:

\[ V = 3.14 \times 72 \]

Calculating \( 3.14 \times 72 \):

\[ 3.14 \times 72 = 226.08 \]

Thus, the volume of the gas tank is:

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