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The diameters of the internal and external surfaces of a hollow spherical shell are 6 cm and 10 cm respectively. If it is melted and recast into a solid cylinder of diameter 14 cm, find the height of the cylinder.

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4 cm
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RS AGGARWAL-VOLUME AND SURFACE AREAS OF SOLIDS-Exercise 17B
  1. A solid metal cone with radius of base 12 cm and height 24 cm is melte...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. The rain water from a roof of 44 m xx 20 m drains into a cylindrical t...

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  19. The rain water from a roof 22 m xx 20 m drains into a cylindrical vess...

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  20. A solid right circular cone of height 60 cm and radius 30 cm is dropp...

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