A candle of diameter $ d$ is floating on a liquid in a cylindrical container of diameter $D $  $(D>>d)$  as shown in figure. If it is burning at the rate of $2$ cm/hour then the top of the candle will
AIIMS 2005, Medium
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The candle floats on the water with half its length above and below water level. Let its length be $10\, cm$. with $5\, cm$. below the surface and $5\, cm$. above it. If its length is reduced to $8\, cm$. It will have $4\, cm$. above water surface. So we see tip going down by $1\, cm$. So rate of fall of tip $= 1\, cm/hour$.
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