+0

Cylinders

0
134
1

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
+124701
+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)

Apr 13, 2022