question_answer

S and is pouring from a pipe at the rate of \[12\,c{{m}^{3}}\]/s. The falling sand forms a cone on the ground in such a way that the height of the cone is always one-sixth of the radius of the base. How fast is the height of the sand cone increasing when the height is 4 cm?

A)  \[\frac{1}{12\pi }\]cm/s      

B)  \[\frac{1}{24\pi }\]cm/s      

C)  \[\frac{1}{36\pi }\]cm/s             

D)  \[\frac{1}{48\pi }\]cm/s