Question

A cylindrical tank of radius 10 m is being filled with wheat at the rate of 314 cubic mere per hour. Then the depth of the wheat is increasing at the rate of
(A) 1 m/h              (B) 0.1 m/h
(C) 1.1 m/h           (D) 0.5 m/h

Answer 1

Let r be the radius of the cylinder.
Then, volume (V) of the cylinder is given by,

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

Hence, the depth of wheat is increasing at the rate of 1 m/h.
The correct answer is A.