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The ratio of radii of two spheres is 2 : 3. Find the ratio of their surface areas and volumes.

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Ratio of radii r1 : r2 = 2 : 3 

Ratio of surface area 

= 4πr12 : 4πr22 

= 22 : 32 = 4 : 9 

Ratio of volumes 

= 4/3 πr13 : 4/3 πr23 

= 23 : 33 = 8 : 27

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