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A right circular cone of height 20 cm and base radius 15 cm is melted and cast into smaller cones of equal sizes of height 5 cm and base radius 1.5 cm. The number of cones cast are
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- 300
- 150
- 400
- 100
- 300
Correct Option: C
| Volume of cone = | πr²h | |
| 3 |
| = | × π × 15 × 15 × 20 | |
| 3 |
= 1500π cu.cm.
| ∴ Volume of a smaller cone = | × π × 1.5 × 1.5 × 5 | |
| 3 |
= 3.75π cu.cm.
| ∴ Number of smaller cones = | = 400 | |
| 3.75π |
