A cylindrical tank with radius 3m is being filled with water at a rate 4m^³/min. How fast is the height of the water increasin?

Given :

A cylindrical tank with radius 3m is being filled with water at a rate 4m³/min.

To Find :

How fast is the height of the water increasing.

Solution :

We know, volume of cylinder is given by :

      ....1)

Also, we have given that, .

Differentiating equation 1) w.r.t  t we get :

Therefore, the height of water is increasing at a rate of 0.141 m/min.

207/8 is the right

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step-by-step explanation: