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30/06/2021 1:04 pm
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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.
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30/06/2021 1:10 pm
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
Radius of the resulting sphere be “r”
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