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A metallic sphere of radius 10.5 cm is melted and then recast into small cones each of radius 3.5 cm and height 3 cm, then the number of cones thus formed is :

10.5 सेमी त्रिज्या का एक धातु का गोला पिघलाकर, 3.5 सेमी त्रिज्या तथा 3 सेमी ऊँचाई वाले कई छोटे शंकुओं में ढाल दिया जाता है। तदनुसार, इस प्रकार बने शंकु की संख्या कितनी होगी ?

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Correct answer: B. 126

Explanation

Number = (4/3)π(10.5)³ ÷ [(1/3)π(3.5)²(3)] = 4 × 1157.625 ÷ 36.75 = 126.

संख्या = (4/3)π(10.5)³ ÷ [(1/3)π(3.5)²×3] = 4 × 1157.625 ÷ 36.75 = 126।

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