Question

the diameter of the metallic sphere is 6 cm It is melted and drawn into a long wire having a circular cross section of diameter is 0.2 cm find the length of the wire​

Answer 1

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Answer 2

Hey friend, Here is your answer-

diameter of sphere = 6cm

radius of sphere ,

r = 3 cm

Diameter of wire = 0.2 cm

it's radius = 0.1 cm

Let the length be h.

Volume of wire = Volume of sphere..... (given)

pie × r^2 × h = 4/3 pie × r^3

0.1 × 0.1 × h = 4/3 × 3 × 3 × 3

h = 4×3×3 / 0.1 × 0.1

h = 36 / 0.01

h= 3600 cm

h = 36 m

Therefore the length of wire is 36 m.

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