Q2 of 32 Page 267

Three metallic spheres of radii 6 cm., 8 cm. and 10 cm. respectively are melted together to form a single solid sphere. Find the radius of the resulting sphere.


Given that, radii of spheres melted are 6 cm, 8 cm and 10 cm.


Let the radius of solid sphere be R


Also, volume of sphere


∵ these are melted to make a single sphere


⇒ vol. of solid sphere = sum of vol. of all melted sphere



⇒ R3 = 1728


⇒ R = 12 cm


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