What is the length of the uniform wire of diameter 0 4 cm that can be drawn from a solid sphere of r...........

Quantitative Aptitude ( CCS) Mensuration 3D

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What is the length of the uniform wire of diameter 0.4 cm that can be drawn from a solid sphere of radius 9 cm ?

243 m

240 m

60.75 m

60 m

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Explanation:

Given that, diameter of wire = 0.4 cm
∴ radius of wire (r) = 0.2 cm
And, radius of sphere (R) = 9 cm
Let length of wire = h
Note : When an object is changed and given a different shape, the volumes of both the objects (of two different shapes) remain equal.
∴ Volume of wire = Volume of sphere