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A shpere and a cube have the same surfac...

A shpere and a cube have the same surface area. Show that the ratio of the volume of the sphere to that of cube is `sqrt6: sqrtpi`.

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CHETANA PUBLICATION-Mensuration -Example
  1. The volume of two spheres are in the ration 8:27, find the ratio of th...

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  2. Attempt the following : (1) Find the area of a circle with radius 7 cm...

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  3. Length of arc of a circle, with radius 5 cm, is 10 cm. Find the area o...

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  4. Find the volume of the shpere of diameter 6 cm. (pi = 3.14)

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  5. If the radius of a sphere is doubled, what will be the ratio of its su...

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  6. Q.3. Attempt any two of the following: (1) The radius of a circle with...

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  7. The diameter and length of a roller is 120 cm and 84 cm respectively. ...

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  8. In the adjoining figure, squareABCD os a square with side 7 cm. With c...

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  9. Q.4. Attempt any two of the following: (1) A regular hexagon is inscri...

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  10. The radius of a metallic sphere is 9 cm. It was melted to make a wire ...

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  11. The radius and height of cylindrical water reservoir is 2.8 m and 3.5 ...

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  12. A tin maker converts a cubical metallic box into 10 cylindrical tins. ...

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  13. The three faces, A, B, C having a common vertex of a cuboid have areas...

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  14. Oil tins of cuboidal shape are made from a metallic sheet with length ...

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  15. Plastic drum of cylindrical shape is made by melting shperical solid p...

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  16. Water drips from a tap at the rate of 4 drops in every 3 seconds. Volu...

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  17. A cone and a hemisphere have equal bases and equal volumes. Find the r...

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  18. A shpere and a cube have the same surface area. Show that the ratio of...

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  19. ₹ 5 coins were made by melting a soild cuboidal block of metal with di...

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  20. If the radius of a shpere is doubled, what will be the ratio of its su...

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