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Water Is Leaking Out of an Inverted Conical Tank at a Rate

Question 35

Multiple Choice

Water is leaking out of an inverted conical tank at a rate of 0.1 cubic metres per minute at the same time the water is being pumped into the tank at a constant rate. The tank has height 6 metres and the diameter at the top is 4 metres. If the water level is rising at a rate of 20 centimetres per minute, find the rate at which water is being pumped into the tank at the instant when the water is 2 metres deep.


A) 0.179 Water is leaking out of an inverted conical tank at a rate of 0.1 cubic metres per minute at the same time the water is being pumped into the tank at a constant rate. The tank has height 6 metres and the diameter at the top is 4 metres. If the water level is rising at a rate of 20 centimetres per minute, find the rate at which water is being pumped into the tank at the instant when the water is 2 metres deep. A)  0.179   /min B)  0.279   /min C)  0.379   /min D)  0.479   /min E)  0.365   /min /min
B) 0.279 Water is leaking out of an inverted conical tank at a rate of 0.1 cubic metres per minute at the same time the water is being pumped into the tank at a constant rate. The tank has height 6 metres and the diameter at the top is 4 metres. If the water level is rising at a rate of 20 centimetres per minute, find the rate at which water is being pumped into the tank at the instant when the water is 2 metres deep. A)  0.179   /min B)  0.279   /min C)  0.379   /min D)  0.479   /min E)  0.365   /min /min
C) 0.379 Water is leaking out of an inverted conical tank at a rate of 0.1 cubic metres per minute at the same time the water is being pumped into the tank at a constant rate. The tank has height 6 metres and the diameter at the top is 4 metres. If the water level is rising at a rate of 20 centimetres per minute, find the rate at which water is being pumped into the tank at the instant when the water is 2 metres deep. A)  0.179   /min B)  0.279   /min C)  0.379   /min D)  0.479   /min E)  0.365   /min /min
D) 0.479 Water is leaking out of an inverted conical tank at a rate of 0.1 cubic metres per minute at the same time the water is being pumped into the tank at a constant rate. The tank has height 6 metres and the diameter at the top is 4 metres. If the water level is rising at a rate of 20 centimetres per minute, find the rate at which water is being pumped into the tank at the instant when the water is 2 metres deep. A)  0.179   /min B)  0.279   /min C)  0.379   /min D)  0.479   /min E)  0.365   /min /min
E) 0.365 Water is leaking out of an inverted conical tank at a rate of 0.1 cubic metres per minute at the same time the water is being pumped into the tank at a constant rate. The tank has height 6 metres and the diameter at the top is 4 metres. If the water level is rising at a rate of 20 centimetres per minute, find the rate at which water is being pumped into the tank at the instant when the water is 2 metres deep. A)  0.179   /min B)  0.279   /min C)  0.379   /min D)  0.479   /min E)  0.365   /min /min

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