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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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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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
r3 = 63+83+103
r3 = 1728
r = 12 cm