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Question
The surface area of a sphere is 154 cm2. The volume of the sphere is
Options
`"179"2/3 "cm"^3`
`"359"1/3"cm"^3`
`"1437"1/3"cm"^3`
None of these
Solution
`"179"2/3"cm"^3`
surface area of a sphere = 4πr2
Therefore,
4πr2 = 154
`=> 4xx22/7xx"r"^2 = 154`
`=> "r"^2 = (154xx7/88)`
`=> "r"^2 = 49/4`
`=> "r"^2 = (7/2)^2`
`=> r = 7/2 "cm"`
Volume of the sphere `=4/3pi"r"^3`
`= "Volume of the sphere" = 4/3 pi"r"^3`
`= 539/3 "cm"^3`
`= 179 2/3 "cm"^2`
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