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A right cylindrical tank with circular bases is being filled with water at a rate of 80π cubic meters per hour. As the tank is filled, the water level rises 5 meters per hour. What is the radius of the tank, in meters? Express your answer in simplest radical form.

 Apr 13, 2022

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 #1
avatar+130466 
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Let's suppose  that we just begin to fill the tank

 

After one hour we have a cylinder of water that is 5 m  high  with a volume of 80pi m^3

 

So

 

Vcylinder  =   pi (r^2) * (h)     .....so

 

80 pi  = pi (r^2) 5               divide through by 5pi

 

16 = r^2

 

r = 4  (m)

 

cool cool cool

 Apr 13, 2022

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