How to Calculate the Number of Gallons of Propane in a Spherical Tank

How can I determine the number of gallons of propane in a spherical tank?

If a spherical propane tank is filled to 80% of its capacity, how many gallons of propane does the tank hold if its diameter is ft?

Answer:

To determine the number of gallons of propane a spherical tank can hold when filled to 80% of its capacity, we can use the formula for the volume of a sphere and convert units.

Explanation:

To determine the number of gallons of propane a spherical tank can hold when filled to 80% of its capacity, we can use the formula for the volume of a sphere. The formula for the volume of a sphere is V = (4/3)πr³, where V is the volume and r is the radius of the sphere.

In this case, we are given the diameter of the tank, so we need to find the radius first. The radius is half of the diameter, so we divide the diameter by 2. Then we substitute the radius into the volume formula and multiply it by 80% to find the volume of the tank when filled to 80% of its capacity.

Finally, we convert the volume of the tank to gallons. 1 gallon is equivalent to 0.1337 cubic feet, so we divide the volume of the tank in cubic feet by 0.1337 to get the number of gallons.

Therefore, using the formula for the volume of a sphere and converting units, we can determine how many gallons of propane a spherical tank holds when filled to 80% of its capacity.