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Water is flowing out of a conical tank(vertex down) of a height 10 feet and radius 6 feet in such a way that the water level is falling at 1/2 foot per minute. How fast is the volume of the water in the tank decreasing when the water in the tank is five feet deep?

A 6 foot person walks away from a streetlight that is mounted on a 30 foot pole. This person walks at a rate of 5 ft/sec. At what rate is the length of the person's shadow increasing?

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This solution is comprised of a detailed explanation to answer how fast is the volume of the water in the tank decreasing when the water in the tank is five feet deep.

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