AP Police SI practice question
A solid copper sphere of radius 6 cm is melted and drawn into a wire of diameter 0.2 cm. Find the length of the wire in metres.
From a AP Police SI Quantitative Aptitude practice set · Quantitative Aptitude
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Correct answer: (D) 288 m
Wire radius = 0.2/2 = 0.1 cm. (4/3)π × 6³ = π × 0.1² × L ⇒ L = 4 × 216/(3 × 0.01) = 28800 cm = 288 m. (Using the diameter 0.2 as the radius gives L = 72 m.)
हिंदी में प्रश्न
6 सेमी त्रिज्या वाले एक ठोस ताँबे के गोले को पिघलाकर 0.2 सेमी व्यास का तार बनाया जाता है। तार की लंबाई मीटर में ज्ञात कीजिए।
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सही उत्तर: (D) 288 मी
तार की त्रिज्या = 0.2/2 = 0.1 सेमी। (4/3)π × 6³ = π × 0.1² × L ⇒ L = 4 × 216/(3 × 0.01) = 28800 सेमी = 288 मी। (व्यास 0.2 को त्रिज्या मान लेने पर L = 72 मी आता है।)
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