Math, asked by jazi135, 11 months ago

The diameter of a sphere is 6 cm. It is melted and drawn into a wire of diameter 0.2 cm. Find the length of the wire.

Answers

Answered by nikitasingh79
3

Given : Diameter of a sphere ,D =  6 cm.

Diameter of a wire ,d =  0.2 cm.

Radius of a sphere, R = D/2 = 6/2 = 3 cm

Radius of a wire, r = d/2 = 0.2/2 = 0.1 cm

Let the length of the wire be h cm.

Volume of material in the wire =  Volume of the sphere of radius 6 cm

πr²h = 4/3πR³

⇒ r²h = 4/3 R³

⇒ 0.1² × h = 4/3 × 3³

⇒ 0.01 × h = 4 × 9

⇒ h = 36/0.01

⇒ h = 36 × 100

h = 3600 cm

h =  36 m

[1cm = 1/100 m]

Hence, the length of the wire is 3600 cm or 36 m .

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Answered by Anonymous
1

Answer:⇒ r²h = 4/3 R³

⇒ 0.1² × h = 4/3 × 3³

⇒ 0.01 × h = 4 × 9

⇒ h = 36/0.01

⇒ h = 36 × 100

⇒ h = 3600 cm

⇒ h =  36 m

Step-by-step explanation:

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