Final answer:
To find the number of gallons of water in the tank, subtract the weight of the empty tank from the weight of the tank when it's full of water. Then convert the weight of water to gallons using the weight per gallon conversion factor. The answer is 104.73 gallons.
Step-by-step explanation:
To find the number of gallons of water in the tank, we need to subtract the weight of the empty tank from the weight of the tank when it's full of water. The weight of the tank when it's full of water can be found by subtracting the weight of the empty tank from the weight of the tank when it's full. The weight of the water can then be converted to gallons using the fact that 1 gallon of water weighs approximately 8.34 pounds.
Weight of water in tank = Weight of tank when full - Weight of empty tank = 872 pounds - 0 pounds = 872 pounds
Number of gallons of water = Weight of water / Weight per gallon = 872 pounds / 8.34 pounds per gallon = 104.73 gallons
So, there are approximately 104.73 gallons of water in the tank.