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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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The correct Answer is:
12 cm
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RS AGGARWAL-VOLUME AND SURFACE AREAS OF SOLIDS-Exercise 17B
  1. A solid metallic cuboid of dimensions 9m xx 8m xx2 is melted and recas...

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  2. A cone of height 20 cm and radius of base 5 cm is made up of modelling...

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  3. Metallic spheres of radii 6 cm, 8 cm and 10 cm respectively, are me...

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  4. A solid metal cone with radius of base 12 cm and height 24 cm is melte...

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  5. The radii of internal and external surfaces of a hollow spherical shel...

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  6. The diameters of the internal and external surfaces of a hollow sph...

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  7. A copper rod of diameter 2 cm and length 10 cm is drawn into a wire of...

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  8. A hemispherical bowl of internal diameter 30 cm contains some liquid. ...

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  9. A solid metallic sphere of diameter 21 cm is melted and recast into a ...

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  10. A spherical cannonball 28 cm in diameter is melted and cast into a rig...

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  11. A spherical ball of radius 3 cm is melted and recast into the spherica...

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  12. A spherical shell of lead whose external and internal diameters are re...

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  13. A hemisphere of lead of radius 9 cm is cast into a right circular cone...

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  14. A balll of diameter 21 cm is melted and recast into cubes, each of sid...

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  15. How many lead balls, each of radius 1 cm, can be made from a sphere of...

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  16. A solid sphere of radius 3 cm is melted and then cast into smaller sph...

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  17. The diameter of a sphere is 42 cm. It is melted and drawn into a cylin...

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  18. The diameter of a copper sphere is 18 cm. It is melted and drawn into ...

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  19. A hemispherical bowl of internal radius 9cm is full of water. Its c...

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  20. A hemispherical tank full of water is emptied by a pipe at the rate o...

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