InterviewSolution
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InterviewSolution
| 1. |
The volume of hemisphere is 4851/2 . Find its curved surface area. |
| Answer» Volume of the sphere = 4851{tex}\\Rightarrow \\frac { 4 } { 3 } \\pi r ^ { 3 } = 4851{/tex}{tex}\\Rightarrow 4 \\times \\frac { 22 } { 7 } \\times r ^ { 3 } = 4851{/tex}{tex}\\Rightarrow r ^ { 3 } = \\frac { 4851 \\times 7 } { 88 }{/tex}{tex}\\Rightarrow r ^ { 3 } = \\sqrt [ 3 ] { \\frac { 4851 \\times 7 } { 88 } }{/tex}{tex}\\Rightarrow r ^ { 3 } = \\sqrt [ 3 ] { 385.875 }{/tex}{tex}\\Rightarrow{/tex}\xa0r = 7.28 cm3Curved surface area of a sphere =\xa0{tex}4 \\pi r ^ { 2 }{/tex}{tex}= 4 \\times \\frac { 22 } { 7 } \\times ( 7.280 ) ^ { 2 }{/tex}{tex}= \\frac { 4663.8592 } { 7 }{/tex}= 666.2656 cm2 | |