Question
The slant height of a conical mountain is 2.5 km and the area of its base is 1.54 `km^2` . The height of the mountain is :
Answer: Option B
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Let he radius of the base be r m . Then .
`pi r^2 = 1.54`
`rArr r^2 = ((1.54 xx 7)/(22))`
`rArr r^2 = 0.49`
`rArr r = 0.7 `km
Now, l = 2.5 km, r = 0.7 km.
`:.` ` h = sqrt((2.5)^2 - (0.7)^2) km = sqrt(6.25 - 0.49) km = sqrt(5.76) km = 2.4 km`
So height of the mountain = 2.4 m.
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