SSC CGL 2022 PYQ — Question 65

The correct answer is option 2 i.e. 108 m

Given:

A copper sphere of diameter 18 cm is drawn into a wire of diameter 6 mm.

Concept used:

Volume of sphere = 4/3πr³

Volume of cylinder = πr²h

Calculation:

Radius of sphere = 9 cm

Radius of wire = 0.3 cm [As 1 cm = 10 mm]

According to the question,

The volume of the sphere = Volume of the cylinder

⇒ 4/3119³ = π0.3²x

⇒ 4/3 x 729 = 0.3²x

⇒ 4 x 243 = 0.09x

⇒ x = 10800 cm = 108 m

So, The length of the wire is 108 m.