Marbles of diameter 1.4 cm 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?? 

(please explain step-wise) :)) 

  • 4

diameter = 1.4cm 

hence radius = 0.7 cm

Volume of 1 marble = 4/3πr3 = 4/3.22/7.7/10.7/10.7/10 = 1.437333333..... cm3

cylinder radius = 3.5 cm

cylinder height given = 5.6 cm

hence cylinder volume increased due to n marbles = πr2h = 3.14 X 3.5 X 3.5 X 5.6 = 215.6 cm3

Hence, Number of marbles required = 215.6 / 1.43733333 = 150 marbles

  • 65
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