# An inverted conical water tank with a height of 12 ft and a radius of 3 ft is drained through a hole in the vertex.  If the water level drops at a rate of 1 ft/min, at what rate is the water (in cubic ft/min) draining from the tank when the water depth is 8 ft?  (hint: Use similar triangles)

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An inverted conical water tank with a height of 12 ft and a radius of 3 ft is drained through a hole in the vertex.  If the water level drops at a rate of 1 ft/min, at what rate is the water (in cubic ft/min) draining from the tank when the water depth is 8 ft?  (hint: Use similar triangles)

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Step 1

Given:

An inverted conical water tank with a height of 12 ft and a radius of 3 ft.

Step 2

Consider the similar triangles,

Step 3

Now find the volume of the...

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### Calculus 