The diameter of a metallic sphere is 60 m. The sphere is melted and dr

1.	The diameter of a metallic sphere is 60 m. The sphere is melted and drawn into a wire of uniformcross-section, if the length of the wire is 36 m, find its radius.
Answer» Answer: The METALLIC sphere is Maybe 6m not 60 The wire is in the SHAPE of a cylinder. Since the sphere is melted and a cylindrical wire is formed, their volumes are EQUAL. Volume of a sphere =34πr3 As the diameter of the sphere is 6 cm, its radius r=3 cm Volume of a Cylinder =πR2h Length of the wire h=36m=3600cm Hence, Volume of sphere = Volume of the wire 34πr3=πR2h R2=1001 R=101=0.1cm Hence, radius of the cross-section of the wire =0.1cm

The diameter of a metallic sphere is 60 m. The sphere is melted and drawn into a wire of uniformcross-section, if the length of the wire is 36 m, find its radius.

Answer»

Answer:

The METALLIC sphere is Maybe 6m not 60

The wire is in the SHAPE of a cylinder.

Since the sphere is melted and a cylindrical wire is formed, their volumes are EQUAL.

Volume of a sphere =34πr3

As the diameter of the sphere is 6 cm, its radius r=3 cm

Volume of a Cylinder =πR2h

Length of the wire h=36m=3600cm

Hence, Volume of sphere = Volume of the wire

34πr3=πR2h

R2=1001

R=101=0.1cm

Hence, radius of the cross-section of the wire =0.1cm

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The diameter of a metallic sphere is 60 m. The sphere is melted and drawn into a wire of uniformcross-section, if the length of the wire is 36 m, find its radius.

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