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

Question

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

Quizplus · Accepted Answer

The Answer of 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

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