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.(1 point)

cubic feet
thats the question no more to it

1 answer

To find the volume of the gas tank, we first need to determine its shape. Assuming the gas tank is cylindrical given the dimensions provided (height and width), 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.

The width provided (6 feet) is the diameter of the cylinder, so the radius \( r \) would be half of that:

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

Now we can plug the values into the volume formula. The height \( h \) is given as 8 feet.

Now, substituting \( \pi = 3.14 \):

\[ V = 3.14 \times (3 , \text{feet})^2 \times 8 , \text{feet} \]

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, substituting back into the volume formula:

\[ V = 3.14 \times 72 \]

Now calculating that:

\[ V \approx 226.08 , \text{cubic feet} \]

Therefore, the volume of the gas tank is approximately:

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