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)/(48pi)` cm /s

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