the side of a metallic cubic is 6 CM the cube is melted and deformed them Melton material a wire circular cross section is John if the diameter of wire 1mm how long wire can be drawn
Answers
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
3
4
πr
3
=πR
2
h
R
2
=
100
1
R=
10
1
=0.1cm
Hence, radius of the cross-section of the wire =0.1cm
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 = 3cm.
Volume of a Cylinder = πr.
2h
Length of the wire h = 36m = 3600cm.
Hence, Volume of sphere = Volume of the wire
3/4.
πr^3 = 2πrh.
R/2 = 100/1.
R = 10/1 = 0.1cm.
Hence, radius of the cross-section of the wire = 0.1cm.