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

Sand is pouring from a pipe at the rate of 12 cubic cm./sec. 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. At which rate 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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Sand is pouring from a pipe at the rate of 12 cubic cm./sec. The falling sand forming 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. At which rate is the height of the sand-cone increasing when the height is 4.5 cm. ?

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