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The slant height of a conical mountain is 2.5 km and the area of its base is 1.54 km². (Taking π = 22/7) , the height of the mountain is :
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- 2.2 km
- 2.4 km
- 3 km
- 3.11 km
- 2.2 km
Correct Option: B
Area of the base of mountain = πr² 22 7 2r
| 1.54 km² = | r² | |
| 7 |
| ⇒ | = r² | |
| 22 |
⇒ 0.49 = r²
7there4; r = 0.7 km
Slant height = 2.5 km
∴ Height of the mountain = √(2.5)² - (0.7)²
= √6.25 0.49
= √5.76 = 2.4 km
