A cylindrical tank with radius 3 m is being filled with water at a rate of 2 m3/min. How fast is the height of the water increasing (in m/min)?

Answer 1

Given:

dV/dt = 2 m³/min

r=3

Volume, V = πr²h = 9πh

dV/dt = 9π dh/dt

dh/dt = 2/(9π) m/min