Final answer:
The length of the cylindrical propane gas tank is approximately 60 feet.
Step-by-step explanation:
To find the length of the tank, we need to use the formula for the volume of a cylinder: V = πr^2h, where V is the volume, r is the radius, and h is the height (or length in this case) of the cylinder.
We are given the diameter of the tank, which is 10 feet, so the radius is half of that, or 5 feet.
Substituting these values into the formula and solving for h, we get: 4712.4 = π(5^2)h
Simplifying further, we have: h = 4712.4 / (25π)
Using a calculator to evaluate this expression, we find that the height or length of the tank is approximately 60 feet.