Question

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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)
cubic feet

Answer 1

To find the volume of a cylindrical tank, 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 of the base,
- \( h \) is the height of the cylinder.

You provided the height as 8 feet and the width as 6 feet. The width given is the diameter of the base. First, we need to find the radius:

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

Now we can substitute the values into the volume formula:

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

Calculating it step by step:

1. Calculate \( r^2 \):
\[
r^2 = 3^2 = 9
\]

2. Calculate \( \pi r^2 \):
\[
\pi r^2 = 3.14 \times 9 = 28.26
\]

3. Multiply by the height \( h \):
\[
V = 28.26 \times 8 = 226.08
\]

Thus, the volume of the gas tank is:

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