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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

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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.

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  1. For Sphere 1:

    Radius (r1) = 6 cm

    ∴ Volume (V1) = (4/3)×π×r13

    For Sphere 2:

    Radius (r2) = 8 cm

    ∴ Volume (V2) = (4/3)×π×r23

    For Sphere 3:

    Radius (r3) = 10 cm

    ∴ Volume (V3) = (4/3)× π× r33

    Also, let the radius of the resulting sphere be “r”

    Now,

    Volume of resulting sphere = V1+V2+V3

    (4/3)×π×r3 = (4/3)×π×r13+(4/3)×π×r23 +(4/3)×π×r33

    r= 63+83+103

    r= 1728

    r = 12 cm

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