The radius of a sphere is 6 cm. The sphere is melted and drown into a wire of radius 0.4 cm. The length of the wire is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 18 m.
Given:
The radius of a sphere is 6 cm
Radius of wire = 0.4 cm
Formula used:
Volume of cylinder = πr2h
Volume of sphere = (4/3)πr3
Where r = radius and h = height
Calculations:
The wire will be in the shape of cylinder
Let the height of the wire be h
According to the question,
Volume of cylinder = Volume of sphere
⇒ π × (0.4)2 × h = (4/3) × π × 63
⇒ h = 288/0.16
⇒ h = 1800 cm or 18 m