Answer:
A. The gallons of water in the tank are:
- 793.61 gallons approximately.
The gallons missing to fill the tank are:
- 34457.52 gallons approximately.
Step-by-step explanation:
To solve the exercise we first find the volume of the tank with the formula:
- Volume of a cylinder = PI * r ^ 2 * h
Where:
r = Radius (remember that the radius is half the diameter)
h = Height (which in this case will be the length)
Replacing you get:
- Volume of a cylinder = PI * (10 feet) ^ 2 * 15 feet
- Volume of a cylinder = 4712.39 cubic feet approximately.
Having the volume of the cylinder, we find the volume of the water, using the volume formula, but this time you are going to take the measured 3 feet as the diameter, with which its radius would be 1.5 feet (since it is horizontal) :
- Water volume = PI * (1.5 feet) ^ 2 * 15 feet
- Water volume = 106.09 cubic feet approximately.
To find the volume of water in gallons it is not necessary to take into account the conversion factor to cubic inches, but you can directly use the conversion factor between cubic feet and gallons that I present below:
1 cubic foot = 7.48052 gallons.
With this conversion factor we operate:
- Water volume = 106.09 cubic feet * 7.48052 = 793.61 gallons
Now, to find the remaining volume to fill the tank, you must first subtract the volume of water from the volume of the tank:
- Remaining volume = 4712.39 cubic feet - 106.09 cubic feet
- Remaining volume = 4606.3 cubic feet.
Converting them to gallons gives:
- Remaining volume = 4606.3 cubic feet * 7.48052 = 34457.52 gallons.
