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The volume of a right circular cone is 1232 cm3 and its vertical height is 24 cm. Its curved surface area is
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- 154 cm²
- 550 cm²
- 604 cm²
- 704 cm²
- 154 cm²
Correct Option: B
| πr²h = 1232 | ||
| 3 |
| ⇒ | × | × r² × 24 = 1232 | ||
| 3 | 7 |
| ⇒ r²= | = 49 | |
| 22 × 24 |
⇒ r = √49 = 7 cm.
∴ Slant height ( l ) = √h² + r²
= √24² + 7² = √625 = 25 cm.
∴ Curved surface of cone = πrl
| = | × 7 × 25 = 550 cm² | |
| 7 |
