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October 31st, 2009, 03:12 AM   #1
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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
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October 31st, 2009, 04:54 AM   #2
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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.
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October 31st, 2009, 05:31 AM   #3
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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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