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Mathematics
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Related rates problem please help Sand falls from a hopper at a rate of 0.1 cubic meters per hour and forms a conical pile beneath. If the side of the cone makes an angle of pi/6 radians with the vertical, find the rate at which the height of the cone increases. At what rate does the base diameter increase? Give both answers in terms of h, the height of the pile in meters. please show all steps to the answer.
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