Question

a piece of ductile metal is in the form of a cylinder of diameter 1 cm and length 5 cm it is drawn out into a wire of diameter 1 mm .what will be the length of the wire so formed
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Answer 1

Answer:

Diameter of cylindrical metal =1 cm.

∴ Radius (r) =12cm.

Length (h)=11 cm.

∴ Volume =πr2h

=227×(12)2×11cm3=227×14×11

=227×114=12114cm3

∴ Volume of wire =12114cm3

Diameter of wire =1 mm

∴ Radius =12mm=0.5 mm =0.05 cm.

Let length of wire =h

then πr2h=227×(0.05)2×h

⇒227×0025×h12114

⇒h=121×714×22×0025

=121×7×1000014×22×25=1100cm

∴ Lenght of wire =11 m.

Step-by-step explanation:

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