Water, at a rate of 10 ft3 /min, is pouring into a leaky cistern whose shape is a cone 16 ft deep and 8 ft in diameter at the top. At the time the water is 12 ft deep, the water level is observed to be rising at 4 in/min. How fast is the water leaking away in ft/hr?

Solid Waste Engineering
3rd Edition
ISBN:9781305635203
Author:Worrell, William A.
Publisher:Worrell, William A.
Chapter5: Separation Processes
Section: Chapter Questions
Problem 5.6P
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Water, at a rate of 10 ft3 /min, is pouring into a leaky cistern whose shape is a cone 16 ft deep and 8 ft in diameter at the top. At the time the water is 12 ft deep, the water level is observed to be rising at 4 in/min. How fast is the water leaking away in ft/hr?

a. 0.575 b. 9.42 c. 34.51 d. 565 

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