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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-SURFACE AREAS AND VOLUMES-All Questions
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  2. A right circular cone and a right circular cylinder have equal base...

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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 cones are in the ratio 2 : 1, their volumes are eq...

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

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

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

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

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

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

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  11. A cylinder and a cone are of the same base radius and of same heigh...

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

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

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

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  15. A solid is hemispherical at the bottom and conical above. If the su...

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  16. A solid sphere of radius r is melted and cast into the shape of ...

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  17. The material of a cone is converted into the shape of a cylinder of...

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  18. A circus tent is cylindrical to a height of 4 m and conical above i...

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  19. The number of solid spheres, each of diameter 6 cm that could be mo...

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  20. A sphere of radius 6 cm is dropped into a cylindrical vessel partly...

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