Soda Cantastrophy

A soda can set high on a shelf has a leak in it. As soda drips from the can, a small puddle forms beneath it. At the tijme when the can was completely empty, the rate of change of the radius was 3cm/sec and the radius was 36pi cm^2. Given this data, calculate the radius of the puddle to see if it reached your mom's favorite book 7cm away from the center of the puddle on the shelf.

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