Baking powder is poured onto a flat surface at a constant rate of \(2\pi\ \mathrm{cm}^3\mathrm{s}^{-1}\), forming a right circular cone. The radius of the cone is always \(\frac{1}{18}\) of its height. Find the rate of change of the radius of the cone after 3 seconds of pouring.[5]
[Volume of cone = \(\frac{1}{3}\pi r^2h\)]
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