Question: Coffee is draining from a conical filter (vertex down) into a cylindrical coffeepot at the rate of 10 cubic inches per minute. The filter and

Coffee is draining from a conical filter (vertex down) into a cylindrical coffeepot at the rate of 10 cubic inches per minute. The filter and the coffeepot both have a diameter of 6 inches and the height of the filter is also 6 inches.

a)How fast is the level in the pot rising when the coffee in the cone is 1 inches deep?

b)How fast is the level in the cone falling then?

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