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A solid right circular cone of height 6...

A solid right circular cone of height 60 cm and radius 30 cm is dropped in a right circular cylinder full of water, of height 180 cm and radius 60 cm. Find the volume of water left in the cylinder, in cubic metres.

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The correct Answer is:
`1.98 m^(3)`
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RS AGGARWAL-VOLUME AND SURFACE AREAS OF SOLIDS-Exercise 17B
  1. A solid sphere of radius 3 cm is melted and then cast into smaller sph...

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

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

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

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

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

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

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

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  9. Water is flowing through a cylindrical pipe of internal diameter 2 cm,...

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  10. Water is flowing at the rate of 6km/hr through a pipe of diameter 14 c...

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  11. Water in a canal 5.4 m wide and 1.8 m deep is following with a speed ...

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  12. A farmer connects a pipe of internal diameter 25 cm from a canal into ...

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  13. Water running in a cylindrical pipe of inner diameter 7 cm, is collect...

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  14. 150 spherical marbles, each of diameter 14 cm, are dropped in a cylind...

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  15. Mearbles of diameter 1.4 cm are dropped into a cylindrical beaker of d...

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  16. A well with 10 m diameter is dug 14 m deep. Earth taken out of it is s...

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  17. In a corner of a rectangular field with dimension 35mxx22m, a well wit...

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  18. A copper wire of diameter 6 mm is evenly wrapped on a cylinder of leng...

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  19. A Right triangle whose sides are 15 cm and 20 cm; is made to revolve a...

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  20. In a hospital used water is collected in a cylindrical tank of diamete...

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