What is the solution of ncert class 10 chapter surface areas and volume . Find the best solution of surface areas and volumes . Its very tricky question of this chapter please help me find out the easiest solution or method of this question.Metallic spheres of radii 6 cm, 8 cm and 10 cm, respectively, are melted to form a single solid sphere. Find the radius of the resulting sphere.

SonuNewbie

# Metallic spheres of radii 6 cm, 8 cm and 10 cm, respectively, are melted to form a single solid sphere. Find the radius of the resulting sphere.Q.2

Share

For Sphere 1:Radius (r

_{1}) = 6 cm∴ Volume (V

_{1}) = (4/3)×π×r_{1}^{3}For Sphere 2:Radius (r

_{2}) = 8 cm∴ Volume (V

_{2}) = (4/3)×π×r_{2}^{3}For Sphere 3:Radius (r

_{3}) = 10 cm∴ Volume (V

_{3}) = (4/3)× π× r_{3}^{3}Also, let the radius of the resulting sphere be “r”

Now,

Volume of resulting sphere = V

_{1}+V_{2}+V_{3}(4/3)×π×r

^{3}= (4/3)×π×r_{1}^{3}+(4/3)×π×r_{2}^{3}+(4/3)×π×r_{3}^{3}r

^{3 }= 6^{3}+8^{3}+10^{3}r

^{3 }= 1728r = 12 cm