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Unformatted text preview: 1. A spherical balloon is leaking air and its radius is decreasing at a constant rate of 4 cm/min. At what rate is the air be leaking when the radius is 10 cm? 2. A 13-ft ladder is leaning against a wall. If the top of the ladder is sliding down the wall at a rate of 3 ft/s, how fast will the foot of the ladder be moving away from the wall when the top is 5 feet above the floor? 3. A conical water tank with the vertex down has a radius of 6 feet at the top and is 12 feet high. If water flows into the tank at a rate of 10 ft 3 /min, how fast is the depth of the water increasing when the water is 8 feet deep?...
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- Spring '11