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?

Question

Maggie

Mathematics

21 August, 14:49

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?

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Alden · Answer 1

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