Calculating the Length of a Cylindrical Propane Gas Tank

What is the length of a cylindrical propane gas tank with a diameter of 10 feet and a volume of 4162.6 cubic feet?

A. 53.05 feet

Answer:

The length of the cylindrical propane gas tank, given its diameter of 10 feet and volume of 4162.6 cubic feet, is approximately 53.05 feet.

In order to calculate the length of the cylindrical propane gas tank, we can use the formula for the volume of a cylinder, which is V = πr²h, where V is the volume, r is the radius, and h is the height (length) of the cylinder.

Given that the diameter of the tank is 10 feet, we can find the radius by dividing the diameter by 2, which gives us a radius of 5 feet. The total volume of the tank is 4162.6 cubic feet.

By rearranging the formula for the volume of a cylinder, we can solve for the height (length) of the tank: h = V / (πr²). Substituting the values we have, we get h = 4162.6 / (π*5²).

Calculating the expression above, we find that the length of the tank is approximately 53.05 feet.