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Sand is pouring from a pipe at the rate ...

Sand is pouring from a pipe at the rate of 12 `cm^(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 ?

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The correct Answer is:
`(1)/(48 pi)` cm/sec.
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