Mathematics

Mathematics

Problem

Sand is pouring from a pipe at the rate of 12 cm3/s12 \text{ cm}^3/\text{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 cm4 \text{ cm}?

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