A machine starts dumping sand at the rate of 20 m3/min, forming a pile in the shape of a cone. The height of the pile is always twice the length of the base diameter. After 5 minutes, how fast is the area of the base increasing?

Answer :

When after 5 min the height is 11.516, after 5 min the height is increasing at .7678m/min, after 5 min the base radius is increasing at .19196 m/min, so I already workd out the volume formula v=1/3pir^2h

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