The radius of a solid metallic sphere is equal to 15 cm. It is melted and drawn into a long wire of radius 15 mm having uniform cross-section. Find the length of the wire.

2000 cm

We know that,

Volume of Sphere = \(\frac{4}{3}\)πr³ 

Volume of cylinder = πr²h 

We have,

Radius = 15 cm.

It is melted and drawn into a long wire of radius 15 mm or 1.5 cm

According to the question,

Volume of sphere = Volume of cylinder

= \(\frac{4}{3}\)π × (15)³ = π × (1.5)2 × h

= \(\frac{4}{3}\) (3375) = (2.25) × h 

= 4 × (1125) = (2.25) × h 

= h = \(\frac{4500}{2.25}\) = 2000 cm