Question

A wire of diameter 10 mm is drawn by melting the sphere of radius 9 cm. The length of wire would be.

Answer 1

Hey there ‼
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↪Radius of sphere = 9 cm = 90 mm

↪Volume of sphere = 4 / 3 × πr³
= 4 / 3 × 3.14 × (90)³
= 4 / 3 × 3.14 × 729000 mm³

↪Diameter of wire = 10 mm

↪Radius of wire = 5 mm

↪Volume of cylinder i.e., wire = πr²h
= 3.14 × (5)² × h
= 3.14 × 25 × h

↪Now, Volume of sphere = Volume of cylinder
4 / 3 × 3.14 × 729000 = 3.14 × 25 × h
h = ( 4 × 3.14 × 729000 ) / ( 3 × 3.14 × 25 )
h = ( 4 × 729000 ) / ( 3 × 25 )
h = 4 × 9720
h = 38880 mm

Thus, length of wire would be 38880 mm.
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