Answer :

Let the radius of sphere be ‘r’ cm


Surface area of sphere = 2464 cm2


Surface area of sphere is given by 4πr2


4πr2 = 2464 cm2


4 × 22/7 × r2 = 2464 cm2


r2 = 2464 × 1/4 × 7/22 cm2 = 196 cm2


r = 14 cm


Radius of new sphere is double the radius of given sphere.


Let the radius of new sphere be r’ cm


r’ = 2r


r’ = 2 × 14 cm = 28 cm


Surface area of new sphere = 4πr’2


= 4 × 22/7 × 282 cm2


= 9856 cm2


Surface area of new sphere is 9856 cm2.


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