Madhya Pradesh Police Exam Model Paper 1

Question : 59 of 100

Marks: +1, -0

What is the length of a cylindrical wire of radius 6 cm that can be drawn from a copper sphere of radius 21cm?

Solution:

Given
Radius of the cylindrical wire = 6 cm
Radius of the sphere = 21cm
Formula
Volume of cylinder

= πr^2h

Volume of sphere

= (4{/}3)πr^3

Calculation

πr^2h = (4{/}3)πR^3

⇒ h = (4{/}3)R^3{/}r^2

= (4{/}3) × (21^3{/}6^2)

= 343 cm

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