An empty tank is filled with water at the rate of 200 cc per second. The dimensions of the tank are 2 m by 3 m by 4 m. What fraction of the tank is filled after two hours?
2 Answers
The answer is
Explanation:
First, let's find out how many cubic centimeters the tank can hold using dimensional analysis:
Next, let's convert the filling speed from
Now, let's find out how many cubic centimeters were filled after two hours:
Lastly, divide this number by the total capacity of the pool to find out what fraction of the pool is filled:
Three-fiftieths of the pool was filled after two hours, or
Explanation:
First, least determine the volume of the tank:
We are given a flow rate in
To convert
The volume of water that flows into the tank in
Therefore, the fraction of the tank that is filled is: