ANSWER
Step-by-step explanation
First, we have to find the volume of the cylindrical tank.
The volume of a cylinder is given as:
where r = radius; h = height
We are given the diameter of the tank (5 feet). Radius is half of the diameter, so:
Therefore, the volume of the tank is:
The tank is leaking water at a rate of 0.75 ft³ per hour.
To find the time it will take for the tank to be empty, we have to divide the volume of the tank by the rate at which it is leaking.
That is:
That is the time it will take for the tank to be empty.