Melting Ice Cream

Calculus Level 2

Uh oh. Your ice cream has begun to melt! Liquefied ice cream begins to fill the bottom of your 6cm diameter, 10cm tall waffle cone at a rate of 2cm\(^3\) per minute. How fast is the depth (in cm/min) of the melted ice cream increasing when the volume of the liquid ice cream is \(\frac{15}{4}\pi\)?

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