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

Question

Philoid · Accepted Answer

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.