The diameter of a copper sphere is 18 cm. The sphere is melted and is drawn into a long wire of uniform circular cross-section. If the length of the wire is 108 m, find its diameter.

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Solution

The radius of copper sphere, = 9 cm

The volume of sphere

Since,

The sphere is melted and drawn into a long circular wire of length 108 m = 10800 cm

Let r be the radius of wire,

Clearly,

The volume of wire = volume of sphere

And, d = 2r = 0.6 cm

Hence, the diameter of the wire will be equals to

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The diameter of a copper sphere is 18 cm. The sphere is melted and is drawn into a long wire of uniform circular cross-section. If the length of the wire is 108 m, find its diameter.

The radius of copper sphere, = 9 cm The volume of sphere Since, The sphere is melted and drawn into a long circular wire of length 108 m = 10800 cm Let r be the radius of wire, Clearly, The volume of wire = volume of sphere And, d = 2r = 0.6 cm Hence, the diameter of the wire will be equals to