Question 67

The radius of a metallic sphere is 3 cm.it is melted and drawn into a wire of uniform circular section of 0.1 cm. the length of the wire will be (in m):

Solution

Radius of sphere = $$R=3$$ cm

Let length of wire be $$h$$ cm and radius of wire = $$r=0.1$$ cm

Since, the sphere is melted to form a wire, so the volume of the sphere will be equal to the volume of the wire.

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

=> $$0.01h=\frac{4}{3}\times27$$

=> $$h=3600$$

$$\therefore$$ Length of wire (in m) = 36 m

=> Ans - (C)

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