My Bucket’s Got a Hole in It Day\text{My Bucket's Got a Hole in It Day}

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Today (May 30) is My Bucket's Got a Hole in It Day! Yeah this is an incredibly dumb Day.

You have your perfectly cylindrical, magical bucket. It's magical because the radius of any liquid inside is always one-fourth of its height. The bucket itself is is 36 in36\text{ in} tall. You're pouring in water at a rate of 20 in3/min20\text{ in}^3/\text{min}. Sadly, due to this dumb day, the bucket has a leak in it. When the water is 12 in12\text{ in} deep the water level is rising at a rate of 18 in/min\frac18\text{ in}/\text{min}. How fast is the water leaking?

Round your answer to the nearest integer.

Choose one answer

Type a concept, like “slope” or “photosynthesis”.

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