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

A sphere and a cube have the same surface. Show that the ratio of the volume of the sphereto that of the cube is `sqrt(6) : sqrt(pi)`.

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RD SHARMA ENGLISH-SURFACE AREAS AND VOLUMES-All Questions
  1. Two circular cylinders of equal volumes have their heights in the r...

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  2. If the volumes of two cones are in the ratio 1:4 and their diameter...

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  3. A sphere and a cube have the same surface. Show that the ratio of the ...

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

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  5. In what ratio are the volumes of a cylinder, a cone and a sphere, i...

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  6. A sphere of maximum volume is cut out from a solid hemisphere of ra...

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  7. A right circular cone and a right circular cylinder have equal base...

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  8. A cone, a hemisphere and a cylinder stand on equal bases and have t...

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  9. The radii of two cones are in the ratio 2 : 1, their volumes are eq...

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  10. Two cones have their heights in the ratio 1:3 and the radii of thei...

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  11. A hemisphere and a cone have equal bases. If their heights are also...

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  12. If r1 and r2 denote the radii of the circular bases of the frustum ...

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  13. If the slant height of the frustum of a cone is 6 cm and the perime...

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  14. If the areas of circular bases of a frustum of a cone are 4\ c m^2 ...

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  15. The surface area of a sphere is 616\ c m^2 . Find its radius.

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  16. A cylinder and a cone are of the same base radius and of same height...

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  17. The slant height of the frustum of a cone is 5 cm. If the differenc...

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  18. Conversion of Sphere into cylinder : The diameter of metallic sphere i...

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  19. A metallic sphere of radius 10.5 cm is melted and recast into small...

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  20. A solid is hemispherical at the bottom and conical above. If the sur...

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