A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire?

A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire?

A. 45 cm


B. 18 cm


C. 90 cm


D. None of these

 

Explanation:

Volume of the wire (in Cylindrical shape) is equal to the volume of the sphere.

π(16)2 * h = (4/3)π (12)3 => h = 9 cm