If the ratio of volumes of two spheres is 1 : 8 then the ratio of their surface areas is?

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popescy91 · Accepted Answer

Violume of first sphere   =      4    3    π      r    1    2  and volume of second sphere   =      4    3    π      r    2    3  But ratio in their volumes = 1 : 8  ∴                    4        3            π              r        1        3                            4        3            π              r        2        3              =      1    8      ⇒            r      1      3              r      2      3        =      1    8    =  (      1    2        )    3      =  (      1    2        )    3    ⇒            r      1              r      2          =      1    2  Now ratio in their surfaces areas   =            4      π              r        1        2                    4      π              r        2        2                =            r      1      2              r      2      2          =  (            r      1              r      2            )    2      =      1    2    =      1    4

If the ratio of volumes of two spheres is 1 : 8 then the ratio of their surface areas is?

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