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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. Find the height of the mountain. |
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Answer» Given: Slant height of conical mountain = 2.5 km Area of its base = 1.54 km2 Let the radius of base be ‘r’ km, height of the mountain is ‘h’ km and slant height be ‘l’ km Area of base = πr2 1.54 = πr2 1.54 = 22/7 r2 or r = 0.7 km We know that, l2 = r2 + h2 (2.5)2 = (0.7)2 + h2 6.25 – 0.49 = h2 or h = 2.4 km |
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