a solid sphere of radius 3cm is melted and reformed by stretching it into a cylindrical shaped wire of length 9m.find the radius of the wire.
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Answer:
Sphere →r=1cm
Wire is a cylinder
Cylinder→h=100cm,r=?
Volume of sphere=Volume of wire(cylinder)
3
4
πr
s
3
=πr
cy
2
h
cy
r
cy
2
=
πh
cy
3
4
πr
s
3
=
3×h
cy
4r
s
3
=
3×100cm
4×1×1×1cm
3
=
75
1
cm
2
r
cy
=
75
1
=
5
3
1
cm=0.11cm
∴ Radius of the wire=0.11cm.
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