Difficult# Volume of a Cone

APCALC-BZO21I

Water is dripping from an inverted cone with a diameter of $12 \, \text{cm}$ and a height of $12 \,\text{cm}$ at a rate of $1\,\text{cm}^3/\text{min}$. At what rate is the water level decreasing when $r=2 \,\text{cm}$?