It's a hot day in L.A. and Carina has an ice cream cone. The ice cream is leaking into the cone at a rate of 3/2 cm per second. Given that the cone is 10 cm high, with a radius at the largest end of 3 cm, at the moment when the leaked ice cream fills half-way down the cone, what is the rate of change of the height of the liquid ice cream in the cone? (Hint: The formula for the volume of a right circular cone is V r h wherer is the radius of the cone, and h is the height.)
