What is the length of a cylindrical wire of radius 6 cm that can be dr

1.	What is the length of a cylindrical wire of radius 6 cm that can be drawn from a copper sphere of radius 21cm? 1. 343 cm2. 1029 cm3. 2058 cm4. 686 cm
Answer» Correct Answer - Option 1 : 343 cm Given Radius of the cylindrical wire = 6 cm Radius of the sphere = 21cm Formula Volume of cylinder = πr²h Volume of sphere = (4/3)πr³ Calculation πr2h = (4/3)πR3 ⇒ h = (4/3)R³/r² ⇒ (4/3) × (21³/6²) ⇒ 343 cm ∴ The length of the cylinderical wire is 343 cm.

What is the length of a cylindrical wire of radius 6 cm that can be drawn from a copper sphere of radius 21cm? 1. 343 cm2. 1029 cm3. 2058 cm4. 686 cm

Answer» Correct Answer - Option 1 : 343 cm

Given

Radius of the cylindrical wire = 6 cm

Radius of the sphere = 21cm

Formula

Volume of cylinder = πr²h

Volume of sphere = (4/3)πr³

Calculation

πr2h = (4/3)πR3

⇒ h = (4/3)R³/r²

⇒ (4/3) × (21³/6²)

⇒ 343 cm

∴ The length of the cylinderical wire is 343 cm.

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What is the length of a cylindrical wire of radius 6 cm that can be drawn from a copper sphere of radius 21cm? 1. 343 cm2. 1029 cm3. 2058 cm4. 686 cm

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