Correct Answer - Option 4 : 972
Given:
Radius of the sphere is 9 cm = 0.09 m
Diameter of the wire is 2 mm = 0.002 m
Concept Used:
If r be the radius, then volume of the sphere is (4/3)πr3
If r be the radius and h be the length of the wire, then volume of the wire is πr2h
Calculation:
Volume of the sphere of radius 9 cm is (4/3)π × (0.09)3 = 0.000972π m3
Diameter of the wire 2 mm = 0.002 m
⇒ Radius of the wire is 0.001 m
Let, the length of the wire is h
Volume of the wire is π(0.001)2 × h = πh/1000000 m3
Accordingly,
0.000972π = πh/1000000
⇒ h = 972
∴ The length of the wire in meters is 972 m.
