marble of diameter 1.4 CM are dropped into a beaker containing some water and a fully submerged the diameter of the bigger is 7 cm find how many medals have been dropped in it if the water rises by 5.6 CM
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diameter of marble = 1.4 cm
radius = 1.4/2 = 0.7 cm
volume of 1 marble =
4/3 πr ^3 =4/3 A ×π × (0.7 ) ^3
let number of marbles required = n
base diameter of beaker = 7cm
radius = 7/2 = 3.5 cm
height rise in water = 56 cm
volume change = volume of n marbles
π r^2h =n × 4/3 ×π × (0.7 )^3
n= π ×3.5^2 ×56
---------------------------- =3.5 ^2 ×56 ×3
(4/3 ) ×π ×(0.7 )^3 ---------------------
4 × 0.7 ^3
= 1500
So 1500 marbles should be dropped.
Sidshefu:
but how 3 is there in place of pie
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