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Determine the ratio of the volume of a c...

Determine the ratio of the volume of a cube to that of a sphere which will exactly fit inside the cube.

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The correct Answer is:
`6 : pi`
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RS AGGARWAL-VOLUME AND SURFACE AREAS OF SOLIDS-Exercise 17D
  1. A copper sphere of diameter 18 cm is drawn into a wire of diameter ...

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  2. The radii of the circulr ends of a frustum of height 6 cm are 14 cm an...

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  3. Determine the ratio of the volume of a cube to that of a sphere which ...

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  4. Find the ratio of the volumes of a cylinder, a cone and a sphere, if e...

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  5. Two cubes each of volume 125 cm^(3) are joined end to end .Find the vo...

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  6. Three metallic cubes whose edges are 3 cm, 4 cm and 5 cm, are melted a...

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  7. A solid metallic sphere of diameter 8 cm is melted and drawn into a cy...

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  8. A 5 m wide cloth is used to make a conical tent of base diameter 14...

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  9. An wooden toy is made by scooping out a hemisphere of same radius f...

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  10. Three cubes of metal whose edges are in the ratio 3:4:5 are melted dow...

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  11. A hollow sphere of internal and external diameters 4 cm and 8 cm re...

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  12. A bucket of height 24 cm is in the form of frustum of the cone whose c...

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  13. The interior of a building is in the form of a right circular cylinder...

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  14. A metallic solid right circular cone is of height 84 cm and the radius...

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  15. A toy is in the form of a cone of radius 3.5 cm mounted on a hemisp...

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  16. If the radii of the circular ends of a bucket 28 cm high, are 28 cm an...

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  17. A bucket is in form of a frustum of a cone with a copacity of 12308.8 ...

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  18. A milk container is made of metal sheet in the shape of frustum of a c...

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  19. A solid metallic sphere of diameter 28 cm is melted and recast into...

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  20. A cylindrical vessel with internal diameter 10 cm and height 10.5 c...

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