Complete Question: The diagram referred to in the question is attached below
Answer:
The tank will overflow
Explanation:
From the diagram:
The height of the cylindrical tank, h = 12 ft
Radius of the cylindrical tank, r = 3 ft
Volume of the cylindrical tank, Vtank = πr²h
Where π = 3.14
Vtank = 3.14 * 3² * 12
Vtank = 3.14 * 9 * 12
Vtank = 339.12 ft³
Volume of the cylindrical tank = 339.12 ft³
Depth of water, h = 1 ft
The radius of water still takes the radius of the tank, r = 3 ft
Volume of water, Vwater = πr²h
Volume of water = 3.14 * 3² * 1
Volume of water = 28.26 ft³
The volume available in the tank = Vtank - Vwater
Volume available in the tank = 339.12 - 28.26
Volume available in the tank = 310.86 ft³
Rate at which water is poured, R = 20 ft³/min
Time taken to pour water, t = 20 mins
Volume of water poured into tank = Rate * time
Volume of water poured into tank = 20 * 20
Volume of water poured into tank = 400 ft³
Since the volume of water poured into tank ( 400 ft³) > Volume available in the tank (310.86 ft³), the tank will overflow