+0  
 
0
82
1
avatar

A right cylindrical tank with circular bases is being filled with water at a rate of \(80 \pi\) 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
 #1
avatar+124594 
+1

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

29 Online Users

avatar
avatar