Question

a solid metal cylinder of radius 14cm and height 21cm is melted and recast into spheres, each of radius 3.5 cm.calculate the no of spheres that can be made.?

Answer 1

let no, of spheres be N
by given,volume of the cylinder=NxVolume of spere
radius of cylindr=14cm
height of cylinder=21cm
volume=πr²h  =22/7 x 21 x 14 x 14
                       =12936 cm³
radius of sphere=3.5cm
volume=4/3πr³  =4/3 x 22/7 x 3.5 x 3.5 x 3.5
                          =179.66cm³
N=12936/179.66
   =72
thus 72 spheres can be made

Answer 2

Answer:

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