Question

A copper cylindrical rod of diameter 14 cm and length 47 cm is melted and recast into a wire of diameter 8mm. Find the length of the wire, giving your answer in metres.

Answer 1

This is your answer given below

Answer 2

The length of wire is 143.93 m.

Step-by-step explanation:

Since we have given that

In case of cylinder

Diameter = 14 cm

Radius = 7 cm

Length = 47 cm

it melted into a wire of diameter 8mm

radius = 4 mm = 0.4 cm

So, Volume of rod = volume of wire

$\pi (7)^2\times 47=\pi (0.4)^2\times h\\\\\dfrac{49\times 47}{0.4^2}=h\\\\14393.75\ cm=h\\\\143.93\ m=h$

Hence, the length of wire is 143.93 m.

# learn more:

A metal pipe cylindrical in shape is of diameter 2 cm and length 10 cm It is melted and recast into a wire of diameter 2.5 millimetre find the length of the wire so obtained

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