Math, asked by YashSingh8570, 1 year ago

A hollow sphere of internal and external diameters 4 cm and 8cm respectively is melted to form a solid cylinder of base diameter 8 cm. the height of the cylinder is approximately:

Answers

Answered by Anonymous
3
Sphere :

Inner diameter = 4cm 
Inner radius     = R₁ = 2 cm 

Outer diameter = 8 cm 
Outer radius     = R₂ = 4 cm 

ATQ,

Volume of sphere = volume of cylinder formed 

(4/3)π(R₂³ - R₁³)   = π r² h 

4/3 (4³ - 2³)           = 4² . h 

4/3 (64 - 8)           = 16 h 

4/3 (56)                = 16 h 

(4/3). 56 /16         = h 

14/3                     = h 

h  = 4.67 cm


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