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Nookie1986 [14]
2 years ago
11

At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 16 cubic feet per minute. The di

ameter of the base of the cone is approximately three times the altitude. At what rate (in ft/min) is the height of the pile changing when the pile is 12 feet high? (Hint: The formula for the volume of a cone is V = 1 3 πr2h.)
Mathematics
1 answer:
anzhelika [568]2 years ago
6 0
Don’t trust my word I just need to answer questions i’m so sorry
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Answer:

80 feet

Step-by-step explanation:

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\frac{dv}{dx}\cdot\frac{dx}{dt}= -10\\\\But\ \frac{dx}{dt}=v.\ So,\\\\v\frac{dv}{dx}=-10\\\\vdv=-10dx

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