anonymous
  • anonymous
A gasoline tank has the shape of an inverted right circular cone with base radius 4 meters and height 5 meters. Gasoline is being pumped into the tank at the rate of 8 meters3/sec. Find the rate, in meters/sec, at which the gasoline level is rising when the gas is 4 meters deep
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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amistre64
  • amistre64
|dw:1443982716847:dw|
amistre64
  • amistre64
we could just as easily look at this as a cone, that is being emptied at a rate of 8 |dw:1443983366429:dw|
amistre64
  • amistre64
V = 1/3 pi r^2 h r = 4/5 h V = 1/3 pi 16/25 h^3 V' = 3/3 pi 16/25 h^2 h' -8(25/16)/pi = h^2 h' -8(25/16)/(h^2 pi) = h' h=1 when x=4 soo

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