Answer :

Given,


The radius (r1) of 1st sphere = 6 cm


Radius of 2nd sphere (r2) = 8 cm and


Radius f third sphere (r3) = 10 cm


Let the radius of the resulting sphere be R;


So now we have,


Volume of resulting sphere = Volume of three metallic spheres


πR3 =


πR3 =


R3 = 216 + 512 + 1000


R3 = 1728


R =


R = 12 cm


So, the radius of the resulting sphere is 12cm.


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