Saved Bookmarks
| 1. |
The slant height of conical mountain is 2.5km and the area of its base is 1.54 km |
| Answer» Let r, h and l be the base radius, height and the slant height of the conical mountain, respectively.As,\xa0the area of the base = 1.54 km2{tex}\\Rightarrow \\pi r ^ { 2 } = 1.54{/tex}{tex}\\Rightarrow \\frac { 22 } { 7 } \\times r ^ { 2 } = 1.54{/tex}{tex}\\Rightarrow r ^ { 2 } = \\frac { 1.54 \\times 7 } { 22 }{/tex}{tex}\\Rightarrow{/tex}\xa0r2\xa0= 0.49{tex}\\Rightarrow{/tex}r = 0.7kmNow,\xa0{tex}h = \\sqrt { l ^ { 2 } - r ^ { 2 } }{/tex}{tex}= \\sqrt { 2.5 ^ { 2 } - 0.7 ^ { 2 } }{/tex}{tex}= \\sqrt { 6.25 - 0.49 }{/tex}{tex}= \\sqrt { 5.76 } = 2.4 \\mathrm { km }{/tex}So, the height of the mountain is 2.4 km. | |