Question

a cube of metal each of whose sides 3.5 cm is melted to form a cylinder wire of radius of 2 cm. find the length of the wire so obtained.​

Answer 1

Answer:

Given that :-

• Side of Cube = 3.5 cm
• Radius of wire = 2 cm

To find :-

• Length of the wire obtained ?

Solution :-

Volume of cube = Volume of Wire

_________________

Volume of cube = s³

=> 3.5cm³ = 3.5cm×10

= 35mm

Volume of cylinder = πr²L

• Radius = 2cm
• l = length of wire

=> 35³ = 22/7 × 2² × L

=> 42,875 = 22/7 × 4 × L

»» L = 42,875 × 1/4 × 7/22

=> 3410.51mm

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Therefore, Wire of length 3.411m or 3410.51mm will be obtained.