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A solid metal cylinder of radius 14 cm and height 21 cm is melted and recast into spheres of radius 3.5 cm.Calculate the number of spheres that can be made.

Radius of cylinder(R)=14 cm

Height of cylinder(h)=21 cm

Radius of sphere(r)=3.5 cm

So,

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let no. of spherical balls = x

volume of cylinder = x * volume of sphere

 pi r2 h = 4/3 pi R3

cancelling pi

3 r2 h =4 R3

3 * 14*14*21 = x *4* 35*35*35/10*10*10

x = 72

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