An algebra problem by ayushi gupta
Algebra
Level
3
Marbles of diameter 1.4cm are dropped into a cylindrical beaker of diameter 7cm containing some water.Find the number of marbles that should be dropped into the beaker so that the water level rises by 5.6cm.
The answer is 150.
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1 solution
volume occupied by marbles=(area of cylinder*height to which water should rise)
let no.of marbles be 'n'
therefore n (4/3)(pi)(r^3)=area of cylinder height of raise in water
now substitute values and calculate