Question
Download Solution PDF13 सेमी त्रिज्या के एक ठोस धातु के गोले को पिघलाया जाता है और 13 सेमी के आधार के व्यास वाले शंकु में पुन: ढाला जाता है। शंकु की ऊँचाई कितनी है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
13 सेमी त्रिज्या के एक ठोस धातु के गोले को पिघलाया जाता है और 13 सेमी के आधार के व्यास वाले शंकु में पुन: ढाला जाता है।
प्रयुक्त अवधारणा:
शंकु का आयतन = 1/3πr2h
गोले का आयतन = 4/3πr3
गणना:
प्रश्नानुसार,
4/3πr3 = 1/3πr2h
माना कि शंकु का आयतन h है
इसलिए,
4 × 133 = (13/2)2 × h
⇒ h = 4 × 133 × (2/13)2
⇒ h = 16 × 13
⇒ h = 208
इसलिए, ऊँचाई = 208 सेमी
∴ अभीष्ट उत्तर 208 सेमी है।
Last updated on Jun 13, 2025
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