Question
Download Solution PDFप्रत्येक 6 सेमी व्यासाच्या घन गोलांची संख्या शोधा, जे 12 सेमी उंचीचा आणि 6 सेमी व्यासाचा घन धातूचा वृत्तचित्तीला वितळवून बनवता येतील.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेल्याप्रमाणे
वृत्तचित्तीचे परिमाण: उंची = 12 सेमी, व्यास = 6 सेमी
गोलाचा व्यास: 6 सेमी
संकल्पना: आकारमान गणना आणि तुलना.
गणना:
वृत्तचित्तीचे आकारमान = πr2h = π3212 = 108π cm3
गोलाचे आकारमान = 4/3πr3 = 4/3π33 = 36π cm3
गोलांची संख्या = वृत्तचित्तीचे आकारमान/गोलाचे आकारमान
108π/36π = 3
म्हणून, 3 घन गोल बनवता येतील.
Last updated on Jul 8, 2025
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