A cylindrical tank of radius 10 m is being filled with wheat at the rate of 314 cubic metre per hour. Then the depth of the wheat is increasing at the rate of


Let V be the volume of the cylinder


V = πr2h


= π(10)2h


V =100πh


Differentiating w.r.t. t we get,



The tank is being filled with wheat at the rate of 314 cubic meter per hour.



Then, we have,


314 =



Therefore, the depth of wheat is increasing at the rate of 1 m/h.

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