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A metallic sphere of radius 3 cm is melted and drawn into a cylindrical wire of length 1 m.
Find the radius of the wire (in cm).

Class 10Conversion of SolidsMensuration

A1.2
B0.1
C0.6
D1.1

Step-by-Step Solution

Sphere

V = \frac{4}{3}

π*

3^{3} = 36

π

cm^{3}

. Wire length 1 m = 100 cm. π*

r^{2} * 100 = 36

π =>

r^{2} = \frac{36}{100} = 0.36 \Rightarrow r = 0.6

cm.

Answer: C) 0.6

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