A cylindrical vessel of radius 0.5 m is filled with oil at the rate of 0.25πm3/ minute. The rate at which the  surface of the oil is rising, is

# A cylindrical vessel of radius  is filled with oil at the rate of $0.25\pi {\mathrm{m}}^{3}$/ minute. The rate at which the  surface of the oil is rising, is

1. A

2. B

3. C

4. D

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### Solution:

Let be the radius, be the height and $V$ be the

volume of the oil at time $t$ , Then,

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