We've Sprung a Leak!

Calculus Level 3

A conical reservoir with its vertex pointing downward has a radius of 10 feet and a depth of 20 feet. Suddenly, a leak springs and water begins to empty the cone at its vertex and into an empty cylindrical basin with radius 6 feet and height 40 feet. At the moment the depth of the reservoir reaches 16 feet and is decreasing by 2 feet per minute, how fast is the height of water in the basin changing?

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