How many gallons of fuel does a 2 inches by 50 feet tank hold?

4.5

9

To determine the capacity of a cylindrical tank, the formula used is:

\[

\text{Volume} = \pi r^2 h

\]

where:

- \( \pi \) is approximately 3.14159,

- \( r \) is the radius of the cylinder,

- \( h \) is the height (or length) of the cylinder.

In this case, the tank has a diameter of 2 inches, which means the radius is half of that, so:

\[

r = \frac{2 \text{ inches}}{2} = 1 \text{ inch}

\]

The height (length) of the tank is given as 50 feet. Since we need to work with the same units, we will convert the height from feet to inches. There are 12 inches in a foot, so:

\[

h = 50 \text{ feet} \times 12 \text{ inches/foot} = 600 \text{ inches}

\]

Now we can calculate the volume:

\[

\text{Volume} = \pi (1 \text{ inch})^2 (600 \text{ inches}) \approx 3.14159 \times 1 \times

17

33

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