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Pls solve the following: (Related Rates) 1. Water is flowing out from a full cylindrical tank of radius 4 ft at the rate of 24

Pls solve the following: (Related Rates)

1. Water is flowing out from a full cylindrical tank of radius 4 ft at the rate of 24 cubic feet per minute. How fast is the water level going down?

2. Water is flowing into a tank in the form of an inverted cone at the rate of 3 cubic meters per minute. The height of the cone is 8 m and its base radius is 2 m. how fast is the water level rising when the water is 4 m deep?

3. Water is leaking out of an inverted conical tank at the rate of cubic feet per minute. The tank has base radius of 10 ft and an altitude of 5 ft. if the water level is rising at the rate of 2.5 ft/min, at what rate is the water being poured into the tank when the altitude is 2 ft?

4. A light is 20 ft above a sidewalk. A man 6 ft tall walks away from the point under the light at the rate of 2 ft/sec. how fast is his shadow lengthening when he is 3 ft from the point under the light?

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