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October 31st, 2009, 03:06 AM   #1
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A water tank has shape of an inverted circular cone of altit

A water tank has shape of an inverted circular cone of altitude 12ft and base radius 6ft. if water is being pumped into the tank at a rate of 10lit/min, approximate the rate at which the water level is rising when it is 3 ft deep

please solve this its answer is 1.89ft/min
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October 31st, 2009, 08:18 AM   #2
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Re: A water tank has shape of an inverted circular cone of altit

Perhaps I am in error, but I get dh/dt=





Area of water surface when 3 feet deep is
 
November 1st, 2009, 03:06 AM   #3
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Quote:
Originally Posted by urduworld
. . . if water is being pumped into the tank at a rate of 10lit/min, . . .
Are you sure that the fill rate is being given in these units, when all the other measurements given use feet? If the fill rate is 10 ft/min, I get 40/(9pi) ft/min = 1.41471... ft/min, as per galactus.

If the fill rate is 10 l/min, you'd need to know that 10 l/min = 0.353146667 ft/min, which gives a numerically much smaller answer (0.04996... ft/min).
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