Liquid is full in sphere of inner radius 9cm.This is to be poured into cylindrical bottles of radius 3 and height 4 cm,the no.of bottles required is
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The liquid is poured into cylindrical bottles of diameter 3 cm. ... is filled in the bottles, find how many bottles are required. ... Radius (R)= 9/2 = 4.5 cm. For cylinder
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Dear Student,
● Answer -
No of bottles = 27 bottles
● Explanation -
Capacity of the sphere is calculated as -
Capacity of sphere = 4/3 πR^3
Capacity of sphere = 4/3 × π × 9^3
Capacity of sphere = 972π cu.cm
Capacity of cylindrical bottles is -
Capacity of bottle = πr^2h
Capacity of bottle = π × 3^2 × 4
Capacity of bottle = 36π cu.cm
No of bottles required is -
No of bottles = capacity of sphere / capacity of bottles
No of bottles = 972π / 36π
No of bottles = 27 bottles
Hence, no of bottles required is 27 bottles.
Hope this helps you...
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