Mathematics

CBSE Class 10

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Height of the solid metal cylinder, h = 10 cm

Radius of the solid metal cylinder, r = 4.2 cm

therefore,

Radius of each hemisphere = radius of the solid metal cylinder, r = 4.2 cm

Now,

Volume of the rest of the cylinder = Volume of cylinder - 2 x volume of each hemisphere

Thickness of the cylindrical wire = 1.4 cm

Therefore,

Radius of the cylindrical wire, R = 1.4/2 = 0.7 cm

Let the length of the wire be H cm.

It is given that the rest of the cylinder is melted and converted into a cylindrical wire.

therefore,

Volume of the cylindrical wire = Volume of the rest of the cylinder

⇒ π x 0.7 x 0.7 x H = π x (4.2)^{2} x (4.4)

Hence, the length of the wire is 158.4 cm

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