Question

the side of a metallic cube is 6 cm and is melted. From molten material a wire of uniform circular cross section is drawn if the diameter of wire is kept 1 milli metre how long wire can be drawn


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Answer 1

volume of cube = volume of cylindrical wire

(6)³ = πr²h

216 = 22/7×5/10000×h

h = 216×10000×7/22×5

h = 15120000/110

h = 1512000/11 = 137454.5

Answer 2

Answer:

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 =

3

4

πr

3

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

Volume of a Cylinder =πR

2

h

Length of the wire h=36m=3600cm

Hence, Volume of sphere = Volume of the wire

=0.1cm

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