36. Draining a tank An inverted conical water tank with a height of 12 ft and a radius of 6 ft is drained through a hole in the vertex at a rate of 2 ft³/s (see figure). What is the rate of change of the water depth when the water depth is 3 ft? (Hint: Use similar triangles.) 6 ft Outflow 2 ft³/s 12 ft

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36. Draining a tank An inverted conical water tank with a height of 12 ft and a radius of 6 ft is drained through a hole in the vertex at a rate of 2 ft³/s (see
figure). What is the rate of change of the water depth when the water depth is 3 ft? (Hint: Use similar triangles.)
6 ft
Outflow 2 ft³/s
12 ft
Transcribed Image Text:36. Draining a tank An inverted conical water tank with a height of 12 ft and a radius of 6 ft is drained through a hole in the vertex at a rate of 2 ft³/s (see figure). What is the rate of change of the water depth when the water depth is 3 ft? (Hint: Use similar triangles.) 6 ft Outflow 2 ft³/s 12 ft
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