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

Sand is pouting from a pipe at the rate of `12cm^(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/(48pi)cm//sec`
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