the diameter of a. metallic sphere is 8cm the sphere is melted and draw into a wire of uniform cross section if the length of the wire is 75 m find its radius
Answers
Step-by-step explanation:
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:
We have
Diameter of the sphere =6cm
∴ Radius of the sphere=6/2=3cm
Volume of the sphere =4/3×π×3 3 cm 3=36πcm3 [V=4/3π3 3]
Let the radius of the cross-section of wire be r cm
It is given that the length of the cylindrical shaped wire is 36m
∴ Volume of the wire =(πr 2×3600)cm 3
[V=πr2h]
since metallic sphere is converted into cylindrical shaped wire. Therefore,
Volume of the wire = Volume of the sphere⇒r
-r2=3636π\3600π
=1/100
⇒r= 1/10
1/10cm=1mm
Step-by-step explanation:
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