Application of DerivativeHard

Question

Sand is pouring from a pipe at the rate of 12 cm3/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. How fast is the height of the sand-cone increasing when the height is 4 cm

Options

A.48π cm / sec
B.1 / 48π cm / sec
C.58π cm / sec
D.1 / 58π cm / sec

Solution

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