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Smoke is being emitted into the atmosphere from a smokestack. At any instant, the smoke-filled region forms as an inverted right circular cone, the diameter

Smoke is being emitted into the atmosphere from a smokestack. At any instant, the smoke-filled region forms as an inverted right circular cone, the diameter of which is equal to its height. If the rate of smoke emission is 200m3/min, how fast is the height increasing when the height is 50 m?(V=r

2

h

3

)

V=r2h3

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