Question
Download Solution PDFआयाम 88 सेमी, 63 सेमी, 42 सेमी वाले लेड के एक आयताकार ठोस से 8.4 सेमी व्यास वाले कितने गोलाकार लेड के शॉट प्राप्त किए जा सकते हैं, (\(\pi= \frac{22}{7}\) लीजिए)?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
प्रत्येक लेड शॉट का व्यास = 8.4 सेमी
आयताकार ठोस का आयाम = 88 × 63 × 42 (सेमी)
प्रयुक्त अवधारणा:
1. गोले का आयतन = \(\frac {4\pi × (Radius)^3}{3}\)
2. घनाभ का आयतन = लंबाई × चौड़ाई × ऊँचाई
3. प्राप्त सभी लेड शॉट का कुल आयतन आयताकार ठोस के आयतन के बराबर होना चाहिए।
4. व्यास = त्रिज्या × 2
गणना:
माना कि शॉटों की N संख्या प्राप्त की जा सकती है।
प्रत्येक लेड शॉट की त्रिज्या = 8.4/2 = 4.2 सेमी
अवधारणा के अनुसार,
N × \(\frac {4\pi × (4.2)^3}{3}\) = 88 × 63 × 42
⇒ N × \(\frac {4 × 22 × (42)^2}{3 × 7 × 1000}\) = 88 × 63
⇒ N = 750
∴ 750 लेड शॉट प्राप्त किए जा सकते हैं।
Last updated on Jul 12, 2025
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