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Question
A cylindrical jar of radius 6 cm contains oil. Iron spheres each of radius 1 .5 cm are immersed in the oil. How many spheres are necessary to raise the level of the oil by two centimetres?
Solution
Given that,
Radius of cylinder jar 6cm =`r_1`
Level to be rised = 2cm=h
Radius of each iron sphere =1.5cm =`r_2`
Number of sphere = `"Volume of cylinder "/"Volume of sphere"`
=`(πr_1^2h)/(4πr_2^3)`
=`(r_1^2h)/(r_2^3xx4/3)=(6xx6xx2)/(4/3xx1.5xx1.5xx1.5)`
Number of sphere = 16.
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