Question

the diameter of a metallic sphere is 6cm. the sphere is melted and draw into a wire of uniform cross section. if the length of wire is 36m find its radius ?​

Answer 1

Answer:

36 cm

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

We have

Diameter of the sphere =6cm

∴ Radius of the sphere=

2

6

=3cm

Volume of the sphere =

3

4

×π×3

3

cm

3

=36πcm

3

[V=

3

4

π3

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=πr

2

h]

since metallic sphere is converted into cylindrical shaped wire. Therefore,

Volume of the wire = Volume of the sphere

⇒r

2

=

3600π

36π

=

100

1

⇒r=

10

1

cm=1mm