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A wire of diameter 10 mm is drawn by melting the sphere of radius 9 cm. The length of wire would be. |
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Answer» HEY there ‼ ____________________________________ ↪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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