A cylindrical tank with radius 5 m is being filled with water at a rate of 3 m3/min. How fast is the height of the water increasing?

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#1

A cylindrical tank with radius 5 m is being filled with water at a rate of 3 m3/min. How fast is the height of the water increasing?

Answer:

Volume (V) = (pie)(r^2)h
r = 5 m; and radius is constant
dV/dt = (pie) r^2 dh/dt
Substitutiong values
3 = (pie)(5^2) dh/dt
dh/dt = 0.0382 m/min