An inverted conical cistern is 10 feet across the top and 12 feet high and initially full of water. Water is then drained by opening a hole located at the bottom of the cistern and it was noted that when the depth of water was 6 ft, the water surface is changing at a rate of 36.67 in/sec. At what rate in cubic feet per second is the water escaping from the cistern? a) 1 b) 1.5 c) 1.7 d) 2.3

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 An inverted conical cistern is 10 feet across the top and 12 feet high and initially full of water. Water is then drained by 
opening a hole located at the bottom of the cistern and it was noted that when the depth of water was 6 ft, the water 
surface is changing at a rate of 36.67 in/sec. At what rate in cubic feet per second is the water escaping from the 
cistern? 

a) 1

b) 1.5

c) 1.7

d) 2.3

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