Multiple choice

A Solid metallic cone of height 10 cm, radius of base 20 cm is melted to make spherical balls each of 4 cm. diameter. How many such balls can be made? एक धातुई शंकु जिसकी ऊंचाई 10 सेमी है और आधार की त्रिज्या 20 सेमी है इसको पिघलाकर 4 सेमी व्यास के कितनी गेंदे बनाये जा सकते है?

  1. 120

  2. 75

  3. 50

  4. 125
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The volume of the cone equals the total volume of all spherical balls combined. Cone volume = (1/3)πr²h = (1/3)π(20)²(10) = (4000/3)π cm³. Each ball has radius 2 cm (half of 4 cm diameter), so volume = (4/3)π(2)³ = (32/3)π cm³. Number of balls = (4000/3)π ÷ (32/3)π = 4000/32 = 125. The claimed answer is correct.

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