Question
Download Solution PDF18 सेमी व्यास वाले ताँबे के एक गोले को 6 मिमी व्यास वाले एक तार के रूप में बनाया जाता है। तार की लंबाई ज्ञात कीजिये।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
18 सेमी व्यास वाले ताँबे के एक गोले को 6 मिमी व्यास वाले एक तार के रूप में बनाया जाता है।
प्रयुक्त अवधारणा:
गोले का आयतन = 4/3πr3
बेलन का आयतन = πr2h
गणना:
गोले की त्रिज्या = 9 सेमी
तार की त्रिज्या = 0.3 सेमी [चूँकि 1 सेमी = 10 मिमी]
प्रश्नानुसार,
गोले का आयतन = बेलन का आयतन
⇒ 4/3π93 = π0.32x
⇒ 4/3 × 729 = 0.32x
⇒ 4 × 243 = 0.09x
⇒ x = 10800 सेमी = 108 मीटर
∴ तार की लंबाई 108 मीटर है।
Last updated on Jun 13, 2025
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