There is some water in a right circular cylindrical pot of diameter 24 cm . How much the height of water - level will be increased if 60 solid conical iron piece of diameter 6 cm and of height 4 cm each are completely immersed into that water ?

Explanation

The diameter of the conical iron - piece = 6 cm
` :. ` the radius of the conical iron piece = `6/2 ` cm = 3 cm
Also , the volume of each iron - piece `= 1/2 xx pi xx (3)^(2) xx 4 "cc"`
` 12 pi "cc "`
Again , the diameter of the conical pot = 24 cm
` :.` the radius of the coniacal pot = 24 cm
Let water - level will rise h cm
` :. ` the volume of the raised water = ` pi xx (12)^(2) xx h "cc"`
= 144 `pih " cc"`
As per question , `144 ph = 60 xx 12 pi`
` rArr h = (60 xx 12pi)/(144 pi)`
` rArr h = 5 `
Hence the water - level of the pot will rise 5 cm