. A metallic sphere of radius 4.2 cm is melted and recast into the shape


shape of a cylinder of radius 6 cm. Find the height of the cylinder.

Best Answer

Explanation:-

As a metallic sphere is melted and recast into the shape of a cylinder, their volume must be the same.

Volume of the sphere = Volume of the cylinder

Now find the volume of sphere

Volume of the sphere =4/3 πr3

where r is the radius of the sphere

Volume of the cylinder = πr2h

where r and h are radius and height of the cylinder respectively

Radius of the sphere r1 =4.2cm,

Radius of the cylinder r2 =6cm

 height of the cylinder be h.

Volume of sphere = Volume of cylinder

metallic

Final Answer:-

Hence, the height of the cylinder so formed will be 2.744 cm.

 

 

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