A conical flask of height 24 cm is full of water . If this water is poured into another cylindrical flask of radius half of the conical flask , then how much water - level of the cylindrical flask will be raised ?

Explanation

Let the radiuse of the base of the conical flask = r cm
` :. ` the radius of base of the cylindrical flask = `r/2 ` cm
` :.` the volume of the conical flask ` = 1/3 pi r^(2) h ` cc
` = 1/3 pir^(2) xx 24 ` cc
` = 8pir^(2) ` cc
Let water - level into the cylindrical flask will rise h cm
As per condition ` pi xx (r/2)^(2) xx = 8 pir^(2)`
` rArr 1/4 pir^(2) h = 8pir^(2) rArr h = 32 `
Hence the water - level into cylindrical flask will rise 32 cm