Question

The doameter of a sphere is 6cm. It is melted and drawn into wire of a diameter 2 mm. Fins the length of the wire

Answer 1

Answer:

Length of the wire

= 3600 cm (or) 36 m

Answer 2

Given that,

Diameter of a sphere is 6 cm

Radius of sphere, R = 3 cm = 0.03 m

Diameter of the wire is 2 mm

Radius of the wire is 1 mm or 0.001 m

To find,

The length of the wire.

Solution,

The volume of sphere is balanced by the volume of a cylinder such that :

$\dfrac{4}{3}\pi R^3=\pi r^2 h$

h is length of the wire

$h=\dfrac{4R^3}{3r^2}\\\\h=\dfrac{4(0.03)^3}{3(0.001)^2}\\\\h=36\ m$

So, the length of the wire is 36 m.

Learn more,

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