Answer:
The volume of the rock is 13.368 cubic feet.
Step-by-step explanation:
The volume of the rock (), measured in gallons, is equal to the volume of the fish aquarium without the decorative rock () minus the volume of the fish aquarium with the decorative rock (), both measured in gallons.
Since the water flow is at constant rate, the volume of the rock is expressed by the following equation:
(1)
Where:
- Flow rate, measured in gallons per hour.
- Filling time of the fish aquarium without the decorative rock, measured in hours.
- Filling time of the fish aquarium with the decorative rock, measured in hours.
And the flow rate is:
The flow rate is 200 gallons per hour.
If we know that , and , then the volume of the rock is:
The volume of the rock is 13.368 cubic feet.