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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 ?
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- 25
- 75
- 50
- 125
- 25
Correct Option: D
Let number of balls = n
∴ Volume of n balls = Volume of cone
| ⇒ n × | πr³ = | πR²h | ||
| 3 | 3 |
| ⇒ n × | (2)³ = | × (20)² × 10 | ||
| 3 | 3 |
⇒ n = 125