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October 31st, 2009, 03:12 AM  #1 
Newbie Joined: Oct 2009 Posts: 7 Thanks: 0  water is poured into an inverted circular cone of base radiu
water is poured into an inverted circular cone of base radius 5 cm and height 15 cm, at the rate of 10 cm/sec. calculate a) the rate of increase of the height of water level b) the rate of increase of the surface area of the water when the water level is 4cm height please solve it their answers are Ans (a)45/8pi (b)5 square centi meter 
October 31st, 2009, 04:54 AM  #2 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,806 Thanks: 1045 Math Focus: Elementary mathematics and beyond 
a) Volume, , of a cone is , where is radius and is height. From the information given and Volume, in terms of height, is . Implicit differentiation with respect to time: . b) 1. Rewrite the volume equation in terms of radius: . 2. Find > 3. Find , where is surface area. 
October 31st, 2009, 05:31 AM  #3 
Newbie Joined: Oct 2009 Posts: 7 Thanks: 0  Re: water is poured into an inverted circular cone of base radiu
Bro Thanks To Solve my problem, now I fully understood the problem Thanks Again


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base, circular, cone, inverted, poured, radiu, water 
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