The surface areas of the two spheres are in the ratio $1 : 2$ . The ratio of their volumes is

1 : 2

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1 : \sqrt{2}

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1 : 2 \sqrt{2}

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1 : 3 \sqrt{2}

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Solution

The correct option is C $1 : 2 \sqrt{2}$
Area ratio = 1 : 2 (given)
$∴$ radii ratio $= 1 \sqrt{2}$
Volume ratio $= 1^{3} : {(\sqrt{2})}^{3} = 1 : 2 \sqrt{2}$

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