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):
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) =Â 36 m
=> Ans - (C)
Create a FREE account and get:
Quick, easy and effective revision
