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A cone, a hemisphere and a cylinder stan...

A cone, a hemisphere and a cylinder stand on equal bases and have the same height. Show that their volumes are in the ratio 1:2:3.

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RD SHARMA ENGLISH-SURFACE AREAS AND VOLUMES-All Questions
  1. The heights of two right circular cones are in the ratio 1 : 2 and ...

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  2. A cone and a sphere have equal radii and equal volumes. Find the ra...

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

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  4. The radii of two cylinders are in the ratio 2:3 and their heights are ...

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  5. Two cubes have their volumes in the ratio 1 : 27. Find the ratio of...

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  6. Two circular cylinders of equal volumes have their heights in the r...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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