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A right cylindrical tank with circular bases is being filled with water at a rate of $20\pi$ cubic meters per hour. As the tank is filled, the water level rises four meters per hour. What is the radius of the tank, in meters? Express your answer in simplest radical form.

 Feb 25, 2021
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Volume of water per hour    = 20 pi 

 

volume of a cylinder = pi r^2 h

                                  h is 4 meters

                                     pi r^2 4 = 20 pi

                                           r^2 4 = 20

                                             r = sqrt 5   meters

 Feb 25, 2021

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