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CONFIDENTIAL 3 CS/JUNE 2021/MAT183 4. A tank of water in the shape of a cone is leaking water at a constant rate of 2ft /hour.

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CONFIDENTIAL 3 CS/JUNE 2021/MAT183 4. A tank of water in the shape of a cone is leaking water at a constant rate of 2ft /hour. The base radius of the tank is 5 ft and the height of the tank is 14 ft. 5 At 14 At [Hint: Volume of a cone (a) At what rate is the depth of water in the tank changing when the depth of the water is 6ft? (9 marks) (b) At what rate is the radius of the top of the water in the tank changing when the depth of the water is 6ft? (4 marks)

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