question_answer

Water is dripping out from a conical funnel of semi-vertical angle \[\frac{\pi }{4}\] at the uniform rate of \[2c{{m}^{3}}/\sec \] in its surface area through a tiny hole at the vertex in the bottom. When the slant height of the water is 4 cm, if the rate of decrease of the slant height of the water, is \[\frac{\sqrt{k}}{4\pi }\] cm/sec then find k.

Answer:

2.00