A large cylindrical tank has radius 2 m. Water flows out of a tap at the bottom of the tank at a rate proportional to the square root of the depth of the water within it. Initially the tank is full to a depth of 9 m. After 15 minutes the depth of water is 4 m. How long will it take for the tank to empty? 25 minutes 30 minutes 35 minutes O 45 minutes

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter3: Solving Equation And Problems
Section3.5: Equations With The Variable On Both Sides
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A large cylindrical tank has radius 2 m. Water flows out of a tap at the bottom of the tank at a
rate proportional to the square root of the depth of the water within it. Initially the tank is full to
a depth of 9 m. After 15 minutes the depth of water is 4 m. How long will it take for the tank to
empty?
25 minutes
30 minutes
35 minutes
O 45 minutes
Transcribed Image Text:A large cylindrical tank has radius 2 m. Water flows out of a tap at the bottom of the tank at a rate proportional to the square root of the depth of the water within it. Initially the tank is full to a depth of 9 m. After 15 minutes the depth of water is 4 m. How long will it take for the tank to empty? 25 minutes 30 minutes 35 minutes O 45 minutes
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